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Finding the Fourth Proportional to 138,873.11, 191,644.71 and 75,211.16

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Solution

The fourth proportional to 138,873.11, 191,644.71 and 75,211.16 is: 103,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,873.11 : 191,644.71 = 75,211.16 : x
  2. Step 2: Convert to fraction form
    138,873.11/191,644.71 = 75,211.16/x
  3. Step 3: Cross multiply
    138,873.11x = 191,644.71 × 75,211.16
  4. Step 4: Simplify right side
    138,873.11x = 14,413,820,946.96
  5. Step 5: Solve for x
    x = 14,413,820,946.96/138,873.11
  6. Step 6: Final answer
    x = 103,791.30

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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.