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Finding the Fourth Proportional to 99,867.72, 137,760.30 and 71,193.72

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Solution

The fourth proportional to 99,867.72, 137,760.30 and 71,193.72 is: 98,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,867.72 : 137,760.30 = 71,193.72 : x
  2. Step 2: Convert to fraction form
    99,867.72/137,760.30 = 71,193.72/x
  3. Step 3: Cross multiply
    99,867.72x = 137,760.30 × 71,193.72
  4. Step 4: Simplify right side
    99,867.72x = 9,807,668,225.32
  5. Step 5: Solve for x
    x = 9,807,668,225.32/99,867.72
  6. Step 6: Final answer
    x = 98,206.59

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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.