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Finding the Fourth Proportional to 77,154.80, 106,414.75 and 66,417.31

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Solution

The fourth proportional to 77,154.80, 106,414.75 and 66,417.31 is: 91,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,154.80 : 106,414.75 = 66,417.31 : x
  2. Step 2: Convert to fraction form
    77,154.80/106,414.75 = 66,417.31/x
  3. Step 3: Cross multiply
    77,154.80x = 106,414.75 × 66,417.31
  4. Step 4: Simplify right side
    77,154.80x = 7,067,781,439.32
  5. Step 5: Solve for x
    x = 7,067,781,439.32/77,154.80
  6. Step 6: Final answer
    x = 91,605.21

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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.