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Finding the Fourth Proportional to 71,602.92, 98,811.99 and 39,774.78

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Solution

The fourth proportional to 71,602.92, 98,811.99 and 39,774.78 is: 54,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,602.92 : 98,811.99 = 39,774.78 : x
  2. Step 2: Convert to fraction form
    71,602.92/98,811.99 = 39,774.78/x
  3. Step 3: Cross multiply
    71,602.92x = 98,811.99 × 39,774.78
  4. Step 4: Simplify right side
    71,602.92x = 3,930,225,163.61
  5. Step 5: Solve for x
    x = 3,930,225,163.61/71,602.92
  6. Step 6: Final answer
    x = 54,889.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.