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Finding the Fourth Proportional to 71,712.32, 98,965.44 and 39,448.31

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Solution

The fourth proportional to 71,712.32, 98,965.44 and 39,448.31 is: 54,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,712.32 : 98,965.44 = 39,448.31 : x
  2. Step 2: Convert to fraction form
    71,712.32/98,965.44 = 39,448.31/x
  3. Step 3: Cross multiply
    71,712.32x = 98,965.44 × 39,448.31
  4. Step 4: Simplify right side
    71,712.32x = 3,904,019,356.41
  5. Step 5: Solve for x
    x = 3,904,019,356.41/71,712.32
  6. Step 6: Final answer
    x = 54,440.01

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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.