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Finding the Fourth Proportional to 185,730.60, 278,595.90 and 129,743.40

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Solution

The fourth proportional to 185,730.60, 278,595.90 and 129,743.40 is: 194,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,730.60 : 278,595.90 = 129,743.40 : x
  2. Step 2: Convert to fraction form
    185,730.60/278,595.90 = 129,743.40/x
  3. Step 3: Cross multiply
    185,730.60x = 278,595.90 × 129,743.40
  4. Step 4: Simplify right side
    185,730.60x = 36,145,979,292.06
  5. Step 5: Solve for x
    x = 36,145,979,292.06/185,730.60
  6. Step 6: Final answer
    x = 194,615.10

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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.