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Finding the Fourth Proportional to 81,125.75, 121,602.47 and 47,861.48

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Solution

The fourth proportional to 81,125.75, 121,602.47 and 47,861.48 is: 71,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,125.75 : 121,602.47 = 47,861.48 : x
  2. Step 2: Convert to fraction form
    81,125.75/121,602.47 = 47,861.48/x
  3. Step 3: Cross multiply
    81,125.75x = 121,602.47 × 47,861.48
  4. Step 4: Simplify right side
    81,125.75x = 5,820,074,250.55
  5. Step 5: Solve for x
    x = 5,820,074,250.55/81,125.75
  6. Step 6: Final answer
    x = 71,741.39

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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.