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Finding the Fourth Proportional to 235,463.92, 353,108.40 and 77,650

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Solution

The fourth proportional to 235,463.92, 353,108.40 and 77,650 is: 116,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,463.92 : 353,108.40 = 77,650 : x
  2. Step 2: Convert to fraction form
    235,463.92/353,108.40 = 77,650/x
  3. Step 3: Cross multiply
    235,463.92x = 353,108.40 × 77,650
  4. Step 4: Simplify right side
    235,463.92x = 27,418,867,260
  5. Step 5: Solve for x
    x = 27,418,867,260/235,463.92
  6. Step 6: Final answer
    x = 116,446.15

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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.