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Finding the Fourth Proportional to 137,658.72, 206,463.32 and 36,457.40

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Solution

The fourth proportional to 137,658.72, 206,463.32 and 36,457.40 is: 54,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,658.72 : 206,463.32 = 36,457.40 : x
  2. Step 2: Convert to fraction form
    137,658.72/206,463.32 = 36,457.40/x
  3. Step 3: Cross multiply
    137,658.72x = 206,463.32 × 36,457.40
  4. Step 4: Simplify right side
    137,658.72x = 7,527,115,842.57
  5. Step 5: Solve for x
    x = 7,527,115,842.57/137,658.72
  6. Step 6: Final answer
    x = 54,679.54

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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.