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Finding the Fourth Proportional to 157,864.87, 236,805.51 and 78,952.44

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Solution

The fourth proportional to 157,864.87, 236,805.51 and 78,952.44 is: 118,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,864.87 : 236,805.51 = 78,952.44 : x
  2. Step 2: Convert to fraction form
    157,864.87/236,805.51 = 78,952.44/x
  3. Step 3: Cross multiply
    157,864.87x = 236,805.51 × 78,952.44
  4. Step 4: Simplify right side
    157,864.87x = 18,696,372,819.94
  5. Step 5: Solve for x
    x = 18,696,372,819.94/157,864.87
  6. Step 6: Final answer
    x = 118,432.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.