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Finding the Fourth Proportional to 144,094.60, 216,269.90 and 84,856.20

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Solution

The fourth proportional to 144,094.60, 216,269.90 and 84,856.20 is: 127,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,094.60 : 216,269.90 = 84,856.20 : x
  2. Step 2: Convert to fraction form
    144,094.60/216,269.90 = 84,856.20/x
  3. Step 3: Cross multiply
    144,094.60x = 216,269.90 × 84,856.20
  4. Step 4: Simplify right side
    144,094.60x = 18,351,841,888.38
  5. Step 5: Solve for x
    x = 18,351,841,888.38/144,094.60
  6. Step 6: Final answer
    x = 127,359.68

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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.