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Finding the Fourth Proportional to 146,781.92, 220,139.76 and 67,853

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Solution

The fourth proportional to 146,781.92, 220,139.76 and 67,853 is: 101,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,781.92 : 220,139.76 = 67,853 : x
  2. Step 2: Convert to fraction form
    146,781.92/220,139.76 = 67,853/x
  3. Step 3: Cross multiply
    146,781.92x = 220,139.76 × 67,853
  4. Step 4: Simplify right side
    146,781.92x = 14,937,143,135.28
  5. Step 5: Solve for x
    x = 14,937,143,135.28/146,781.92
  6. Step 6: Final answer
    x = 101,764.19

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1.5x scale

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.