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Finding the Fourth Proportional to 121,680.40, 182,909.40 and 86,861.20

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Solution

The fourth proportional to 121,680.40, 182,909.40 and 86,861.20 is: 130,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,680.40 : 182,909.40 = 86,861.20 : x
  2. Step 2: Convert to fraction form
    121,680.40/182,909.40 = 86,861.20/x
  3. Step 3: Cross multiply
    121,680.40x = 182,909.40 × 86,861.20
  4. Step 4: Simplify right side
    121,680.40x = 15,887,729,975.28
  5. Step 5: Solve for x
    x = 15,887,729,975.28/121,680.40
  6. Step 6: Final answer
    x = 130,569.34

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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.