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Finding the Fourth Proportional to 124,760.43, 186,869.46 and 77,387.16

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Solution

The fourth proportional to 124,760.43, 186,869.46 and 77,387.16 is: 115,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,760.43 : 186,869.46 = 77,387.16 : x
  2. Step 2: Convert to fraction form
    124,760.43/186,869.46 = 77,387.16/x
  3. Step 3: Cross multiply
    124,760.43x = 186,869.46 × 77,387.16
  4. Step 4: Simplify right side
    124,760.43x = 14,461,296,800.13
  5. Step 5: Solve for x
    x = 14,461,296,800.13/124,760.43
  6. Step 6: Final answer
    x = 115,912.53

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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.