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Finding the Fourth Proportional to 121,594, 182,241.24 and 86,342.80

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Solution

The fourth proportional to 121,594, 182,241.24 and 86,342.80 is: 129,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,594 : 182,241.24 = 86,342.80 : x
  2. Step 2: Convert to fraction form
    121,594/182,241.24 = 86,342.80/x
  3. Step 3: Cross multiply
    121,594x = 182,241.24 × 86,342.80
  4. Step 4: Simplify right side
    121,594x = 15,735,218,937.07
  5. Step 5: Solve for x
    x = 15,735,218,937.07/121,594
  6. Step 6: Final answer
    x = 129,407.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.