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Finding the Fourth Proportional to 102,591.60, 153,887.40 and 71,098.80

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Solution

The fourth proportional to 102,591.60, 153,887.40 and 71,098.80 is: 106,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,591.60 : 153,887.40 = 71,098.80 : x
  2. Step 2: Convert to fraction form
    102,591.60/153,887.40 = 71,098.80/x
  3. Step 3: Cross multiply
    102,591.60x = 153,887.40 × 71,098.80
  4. Step 4: Simplify right side
    102,591.60x = 10,941,209,475.12
  5. Step 5: Solve for x
    x = 10,941,209,475.12/102,591.60
  6. Step 6: Final answer
    x = 106,648.20

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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.