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Finding the Fourth Proportional to 78,192.90, 107,906.31 and 42,382.89

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Solution

The fourth proportional to 78,192.90, 107,906.31 and 42,382.89 is: 58,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.90 : 107,906.31 = 42,382.89 : x
  2. Step 2: Convert to fraction form
    78,192.90/107,906.31 = 42,382.89/x
  3. Step 3: Cross multiply
    78,192.90x = 107,906.31 × 42,382.89
  4. Step 4: Simplify right side
    78,192.90x = 4,573,381,267.04
  5. Step 5: Solve for x
    x = 4,573,381,267.04/78,192.90
  6. Step 6: Final answer
    x = 58,488.45

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1.5x scale

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.