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Finding the Fourth Proportional to 78,566.92, 108,424.68 and 42,759.28

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Solution

The fourth proportional to 78,566.92, 108,424.68 and 42,759.28 is: 59,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,566.92 : 108,424.68 = 42,759.28 : x
  2. Step 2: Convert to fraction form
    78,566.92/108,424.68 = 42,759.28/x
  3. Step 3: Cross multiply
    78,566.92x = 108,424.68 × 42,759.28
  4. Step 4: Simplify right side
    78,566.92x = 4,636,161,251.03
  5. Step 5: Solve for x
    x = 4,636,161,251.03/78,566.92
  6. Step 6: Final answer
    x = 59,009.07

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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.