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Finding the Fourth Proportional to 71,465.88, 98,624.78 and 39,201.90

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Solution

The fourth proportional to 71,465.88, 98,624.78 and 39,201.90 is: 54,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,465.88 : 98,624.78 = 39,201.90 : x
  2. Step 2: Convert to fraction form
    71,465.88/98,624.78 = 39,201.90/x
  3. Step 3: Cross multiply
    71,465.88x = 98,624.78 × 39,201.90
  4. Step 4: Simplify right side
    71,465.88x = 3,866,278,567.07
  5. Step 5: Solve for x
    x = 3,866,278,567.07/71,465.88
  6. Step 6: Final answer
    x = 54,099.64

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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.