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Finding the Fourth Proportional to 157,387, 217,194.06 and 86,731

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Solution

The fourth proportional to 157,387, 217,194.06 and 86,731 is: 119,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,387 : 217,194.06 = 86,731 : x
  2. Step 2: Convert to fraction form
    157,387/217,194.06 = 86,731/x
  3. Step 3: Cross multiply
    157,387x = 217,194.06 × 86,731
  4. Step 4: Simplify right side
    157,387x = 18,837,458,017.86
  5. Step 5: Solve for x
    x = 18,837,458,017.86/157,387
  6. Step 6: Final answer
    x = 119,688.78

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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.