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Finding the Fourth Proportional to 71,856.96, 107,748.48 and 38,605.04

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Solution

The fourth proportional to 71,856.96, 107,748.48 and 38,605.04 is: 57,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.96 : 107,748.48 = 38,605.04 : x
  2. Step 2: Convert to fraction form
    71,856.96/107,748.48 = 38,605.04/x
  3. Step 3: Cross multiply
    71,856.96x = 107,748.48 × 38,605.04
  4. Step 4: Simplify right side
    71,856.96x = 4,159,634,380.34
  5. Step 5: Solve for x
    x = 4,159,634,380.34/71,856.96
  6. Step 6: Final answer
    x = 57,887.70

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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.