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Finding the Fourth Proportional to 102,884.52, 142,029.17 and 77,400.61

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Solution

The fourth proportional to 102,884.52, 142,029.17 and 77,400.61 is: 106,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,884.52 : 142,029.17 = 77,400.61 : x
  2. Step 2: Convert to fraction form
    102,884.52/142,029.17 = 77,400.61/x
  3. Step 3: Cross multiply
    102,884.52x = 142,029.17 × 77,400.61
  4. Step 4: Simplify right side
    102,884.52x = 10,993,144,395.79
  5. Step 5: Solve for x
    x = 10,993,144,395.79/102,884.52
  6. Step 6: Final answer
    x = 106,849.35

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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.