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Finding the Fourth Proportional to 157,776.65, 217,723.65 and 86,142.86

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Solution

The fourth proportional to 157,776.65, 217,723.65 and 86,142.86 is: 118,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,776.65 : 217,723.65 = 86,142.86 : x
  2. Step 2: Convert to fraction form
    157,776.65/217,723.65 = 86,142.86/x
  3. Step 3: Cross multiply
    157,776.65x = 217,723.65 × 86,142.86
  4. Step 4: Simplify right side
    157,776.65x = 18,755,337,900.64
  5. Step 5: Solve for x
    x = 18,755,337,900.64/157,776.65
  6. Step 6: Final answer
    x = 118,872.71

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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.