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Finding the Fourth Proportional to 261,052.88, 391,387.80 and 83,457.68

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Solution

The fourth proportional to 261,052.88, 391,387.80 and 83,457.68 is: 125,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,052.88 : 391,387.80 = 83,457.68 : x
  2. Step 2: Convert to fraction form
    261,052.88/391,387.80 = 83,457.68/x
  3. Step 3: Cross multiply
    261,052.88x = 391,387.80 × 83,457.68
  4. Step 4: Simplify right side
    261,052.88x = 32,664,317,768.30
  5. Step 5: Solve for x
    x = 32,664,317,768.30/261,052.88
  6. Step 6: Final answer
    x = 125,125.29

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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.