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Finding the Fourth Proportional to 147,129.60, 220,785.60 and 77,059.20

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Solution

The fourth proportional to 147,129.60, 220,785.60 and 77,059.20 is: 115,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,129.60 : 220,785.60 = 77,059.20 : x
  2. Step 2: Convert to fraction form
    147,129.60/220,785.60 = 77,059.20/x
  3. Step 3: Cross multiply
    147,129.60x = 220,785.60 × 77,059.20
  4. Step 4: Simplify right side
    147,129.60x = 17,013,561,707.52
  5. Step 5: Solve for x
    x = 17,013,561,707.52/147,129.60
  6. Step 6: Final answer
    x = 115,636.57

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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.