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Finding the Fourth Proportional to 71,406.97, 98,539.14 and 39,578.83

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Solution

The fourth proportional to 71,406.97, 98,539.14 and 39,578.83 is: 54,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406.97 : 98,539.14 = 39,578.83 : x
  2. Step 2: Convert to fraction form
    71,406.97/98,539.14 = 39,578.83/x
  3. Step 3: Cross multiply
    71,406.97x = 98,539.14 × 39,578.83
  4. Step 4: Simplify right side
    71,406.97x = 3,900,063,870.41
  5. Step 5: Solve for x
    x = 3,900,063,870.41/71,406.97
  6. Step 6: Final answer
    x = 54,617.41

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1.5x scale

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.