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Finding the Fourth Proportional to 85,534.61, 128,309.10 and 31,514

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Solution

The fourth proportional to 85,534.61, 128,309.10 and 31,514 is: 47,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,534.61 : 128,309.10 = 31,514 : x
  2. Step 2: Convert to fraction form
    85,534.61/128,309.10 = 31,514/x
  3. Step 3: Cross multiply
    85,534.61x = 128,309.10 × 31,514
  4. Step 4: Simplify right side
    85,534.61x = 4,043,532,819.83
  5. Step 5: Solve for x
    x = 4,043,532,819.83/85,534.61
  6. Step 6: Final answer
    x = 47,273.65

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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.