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Finding the Fourth Proportional to 157,765.12, 217,724.70 and 86,151.80

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Solution

The fourth proportional to 157,765.12, 217,724.70 and 86,151.80 is: 118,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,765.12 : 217,724.70 = 86,151.80 : x
  2. Step 2: Convert to fraction form
    157,765.12/217,724.70 = 86,151.80/x
  3. Step 3: Cross multiply
    157,765.12x = 217,724.70 × 86,151.80
  4. Step 4: Simplify right side
    157,765.12x = 18,757,374,809.46
  5. Step 5: Solve for x
    x = 18,757,374,809.46/157,765.12
  6. Step 6: Final answer
    x = 118,894.31

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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.