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Finding the Fourth Proportional to 105,012, 157,564.40 and 55,080.16

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Solution

The fourth proportional to 105,012, 157,564.40 and 55,080.16 is: 82,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,012 : 157,564.40 = 55,080.16 : x
  2. Step 2: Convert to fraction form
    105,012/157,564.40 = 55,080.16/x
  3. Step 3: Cross multiply
    105,012x = 157,564.40 × 55,080.16
  4. Step 4: Simplify right side
    105,012x = 8,678,672,362.30
  5. Step 5: Solve for x
    x = 8,678,672,362.30/105,012
  6. Step 6: Final answer
    x = 82,644.58

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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.