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Finding the Fourth Proportional to 85,209.60, 127,814.40 and 47,884.80

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Solution

The fourth proportional to 85,209.60, 127,814.40 and 47,884.80 is: 71,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,209.60 : 127,814.40 = 47,884.80 : x
  2. Step 2: Convert to fraction form
    85,209.60/127,814.40 = 47,884.80/x
  3. Step 3: Cross multiply
    85,209.60x = 127,814.40 × 47,884.80
  4. Step 4: Simplify right side
    85,209.60x = 6,120,366,981.12
  5. Step 5: Solve for x
    x = 6,120,366,981.12/85,209.60
  6. Step 6: Final answer
    x = 71,827.20

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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.