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Finding the Fourth Proportional to 71,842.64, 99,116.04 and 71,731.88

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Solution

The fourth proportional to 71,842.64, 99,116.04 and 71,731.88 is: 98,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,842.64 : 99,116.04 = 71,731.88 : x
  2. Step 2: Convert to fraction form
    71,842.64/99,116.04 = 71,731.88/x
  3. Step 3: Cross multiply
    71,842.64x = 99,116.04 × 71,731.88
  4. Step 4: Simplify right side
    71,842.64x = 7,109,779,887.36
  5. Step 5: Solve for x
    x = 7,109,779,887.36/71,842.64
  6. Step 6: Final answer
    x = 98,963.23

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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.