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Finding the Fourth Proportional to 130,694.56, 195,795.36 and 77,227.12

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Solution

The fourth proportional to 130,694.56, 195,795.36 and 77,227.12 is: 115,695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,694.56 : 195,795.36 = 77,227.12 : x
  2. Step 2: Convert to fraction form
    130,694.56/195,795.36 = 77,227.12/x
  3. Step 3: Cross multiply
    130,694.56x = 195,795.36 × 77,227.12
  4. Step 4: Simplify right side
    130,694.56x = 15,120,711,762.16
  5. Step 5: Solve for x
    x = 15,120,711,762.16/130,694.56
  6. Step 6: Final answer
    x = 115,695.04

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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.