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Finding the Fourth Proportional to 71,475, 98,635.97 and 39,643.98

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Solution

The fourth proportional to 71,475, 98,635.97 and 39,643.98 is: 54,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475 : 98,635.97 = 39,643.98 : x
  2. Step 2: Convert to fraction form
    71,475/98,635.97 = 39,643.98/x
  3. Step 3: Cross multiply
    71,475x = 98,635.97 × 39,643.98
  4. Step 4: Simplify right side
    71,475x = 3,910,322,223.74
  5. Step 5: Solve for x
    x = 3,910,322,223.74/71,475
  6. Step 6: Final answer
    x = 54,708.95

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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.