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Finding the Fourth Proportional to 158,438.39, 218,645.85 and 85,842.47

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Solution

The fourth proportional to 158,438.39, 218,645.85 and 85,842.47 is: 118,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,438.39 : 218,645.85 = 85,842.47 : x
  2. Step 2: Convert to fraction form
    158,438.39/218,645.85 = 85,842.47/x
  3. Step 3: Cross multiply
    158,438.39x = 218,645.85 × 85,842.47
  4. Step 4: Simplify right side
    158,438.39x = 18,769,098,726.02
  5. Step 5: Solve for x
    x = 18,769,098,726.02/158,438.39
  6. Step 6: Final answer
    x = 118,463.07

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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.