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Finding the Fourth Proportional to 261,171.68, 391,746.56 and 83,674.76

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Solution

The fourth proportional to 261,171.68, 391,746.56 and 83,674.76 is: 125,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,171.68 : 391,746.56 = 83,674.76 : x
  2. Step 2: Convert to fraction form
    261,171.68/391,746.56 = 83,674.76/x
  3. Step 3: Cross multiply
    261,171.68x = 391,746.56 × 83,674.76
  4. Step 4: Simplify right side
    261,171.68x = 32,779,297,011.72
  5. Step 5: Solve for x
    x = 32,779,297,011.72/261,171.68
  6. Step 6: Final answer
    x = 125,508.62

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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.