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Finding the Fourth Proportional to 232,781.80, 321,280.74 and 137,282.92

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Solution

The fourth proportional to 232,781.80, 321,280.74 and 137,282.92 is: 189,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,781.80 : 321,280.74 = 137,282.92 : x
  2. Step 2: Convert to fraction form
    232,781.80/321,280.74 = 137,282.92/x
  3. Step 3: Cross multiply
    232,781.80x = 321,280.74 × 137,282.92
  4. Step 4: Simplify right side
    232,781.80x = 44,106,358,126.96
  5. Step 5: Solve for x
    x = 44,106,358,126.96/232,781.80
  6. Step 6: Final answer
    x = 189,475.11

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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.