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Finding the Fourth Proportional to 146,709,985.60, 220,064,978.40 and 103,663,264.60

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Solution

The fourth proportional to 146,709,985.60, 220,064,978.40 and 103,663,264.60 is: 155,494,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,709,985.60 : 220,064,978.40 = 103,663,264.60 : x
  2. Step 2: Convert to fraction form
    146,709,985.60/220,064,978.40 = 103,663,264.60/x
  3. Step 3: Cross multiply
    146,709,985.60x = 220,064,978.40 × 103,663,264.60
  4. Step 4: Simplify right side
    146,709,985.60x = 22,812,654,085,072,484
  5. Step 5: Solve for x
    x = 22,812,654,085,072,484/146,709,985.60
  6. Step 6: Final answer
    x = 155,494,896.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.