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Finding the Fourth Proportional to 98,728, 136,247.92 and 54,016

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Solution

The fourth proportional to 98,728, 136,247.92 and 54,016 is: 74,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,728 : 136,247.92 = 54,016 : x
  2. Step 2: Convert to fraction form
    98,728/136,247.92 = 54,016/x
  3. Step 3: Cross multiply
    98,728x = 136,247.92 × 54,016
  4. Step 4: Simplify right side
    98,728x = 7,359,567,646.72
  5. Step 5: Solve for x
    x = 7,359,567,646.72/98,728
  6. Step 6: Final answer
    x = 74,543.87

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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.