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Finding the Fourth Proportional to 77,129.72, 106,451.31 and 45,292.47

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Solution

The fourth proportional to 77,129.72, 106,451.31 and 45,292.47 is: 62,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,129.72 : 106,451.31 = 45,292.47 : x
  2. Step 2: Convert to fraction form
    77,129.72/106,451.31 = 45,292.47/x
  3. Step 3: Cross multiply
    77,129.72x = 106,451.31 × 45,292.47
  4. Step 4: Simplify right side
    77,129.72x = 4,821,442,535.29
  5. Step 5: Solve for x
    x = 4,821,442,535.29/77,129.72
  6. Step 6: Final answer
    x = 62,510.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.