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Finding the Fourth Proportional to 85,207.70, 127,811.55 and 53,714.90

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Solution

The fourth proportional to 85,207.70, 127,811.55 and 53,714.90 is: 80,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,207.70 : 127,811.55 = 53,714.90 : x
  2. Step 2: Convert to fraction form
    85,207.70/127,811.55 = 53,714.90/x
  3. Step 3: Cross multiply
    85,207.70x = 127,811.55 × 53,714.90
  4. Step 4: Simplify right side
    85,207.70x = 6,865,384,627.10
  5. Step 5: Solve for x
    x = 6,865,384,627.10/85,207.70
  6. Step 6: Final answer
    x = 80,572.35

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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.