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Finding the Fourth Proportional to 173,854.20, 260,781.30 and 85,164.60

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Solution

The fourth proportional to 173,854.20, 260,781.30 and 85,164.60 is: 127,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,854.20 : 260,781.30 = 85,164.60 : x
  2. Step 2: Convert to fraction form
    173,854.20/260,781.30 = 85,164.60/x
  3. Step 3: Cross multiply
    173,854.20x = 260,781.30 × 85,164.60
  4. Step 4: Simplify right side
    173,854.20x = 22,209,335,101.98
  5. Step 5: Solve for x
    x = 22,209,335,101.98/173,854.20
  6. Step 6: Final answer
    x = 127,746.90

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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.