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Finding the Fourth Proportional to 137,404.32, 206,142.32 and 38,908.32

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Solution

The fourth proportional to 137,404.32, 206,142.32 and 38,908.32 is: 58,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,404.32 : 206,142.32 = 38,908.32 : x
  2. Step 2: Convert to fraction form
    137,404.32/206,142.32 = 38,908.32/x
  3. Step 3: Cross multiply
    137,404.32x = 206,142.32 × 38,908.32
  4. Step 4: Simplify right side
    137,404.32x = 8,020,651,352.10
  5. Step 5: Solve for x
    x = 8,020,651,352.10/137,404.32
  6. Step 6: Final answer
    x = 58,372.63

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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.