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Finding the Fourth Proportional to 71,716.25, 98,970.32 and 39,451.73

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Solution

The fourth proportional to 71,716.25, 98,970.32 and 39,451.73 is: 54,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,716.25 : 98,970.32 = 39,451.73 : x
  2. Step 2: Convert to fraction form
    71,716.25/98,970.32 = 39,451.73/x
  3. Step 3: Cross multiply
    71,716.25x = 98,970.32 × 39,451.73
  4. Step 4: Simplify right side
    71,716.25x = 3,904,549,946.43
  5. Step 5: Solve for x
    x = 3,904,549,946.43/71,716.25
  6. Step 6: Final answer
    x = 54,444.42

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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.