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Finding the Fourth Proportional to 85,702.92, 128,566.62 and 26,543.88

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Solution

The fourth proportional to 85,702.92, 128,566.62 and 26,543.88 is: 39,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,702.92 : 128,566.62 = 26,543.88 : x
  2. Step 2: Convert to fraction form
    85,702.92/128,566.62 = 26,543.88/x
  3. Step 3: Cross multiply
    85,702.92x = 128,566.62 × 26,543.88
  4. Step 4: Simplify right side
    85,702.92x = 3,412,656,933.29
  5. Step 5: Solve for x
    x = 3,412,656,933.29/85,702.92
  6. Step 6: Final answer
    x = 39,819.61

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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.