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Finding the Fourth Proportional to 157,776.66, 217,723.05 and 86,142.42

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Solution

The fourth proportional to 157,776.66, 217,723.05 and 86,142.42 is: 118,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,776.66 : 217,723.05 = 86,142.42 : x
  2. Step 2: Convert to fraction form
    157,776.66/217,723.05 = 86,142.42/x
  3. Step 3: Cross multiply
    157,776.66x = 217,723.05 × 86,142.42
  4. Step 4: Simplify right side
    157,776.66x = 18,755,190,416.78
  5. Step 5: Solve for x
    x = 18,755,190,416.78/157,776.66
  6. Step 6: Final answer
    x = 118,871.77

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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.