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Finding the Fourth Proportional to 185,718.60, 278,577.90 and 129,731.40

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Solution

The fourth proportional to 185,718.60, 278,577.90 and 129,731.40 is: 194,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,718.60 : 278,577.90 = 129,731.40 : x
  2. Step 2: Convert to fraction form
    185,718.60/278,577.90 = 129,731.40/x
  3. Step 3: Cross multiply
    185,718.60x = 278,577.90 × 129,731.40
  4. Step 4: Simplify right side
    185,718.60x = 36,140,300,976.06
  5. Step 5: Solve for x
    x = 36,140,300,976.06/185,718.60
  6. Step 6: Final answer
    x = 194,597.10

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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.