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Finding the Fourth Proportional to 138,418.72, 206,869.54 and 101,057.46

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Solution

The fourth proportional to 138,418.72, 206,869.54 and 101,057.46 is: 151,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,418.72 : 206,869.54 = 101,057.46 : x
  2. Step 2: Convert to fraction form
    138,418.72/206,869.54 = 101,057.46/x
  3. Step 3: Cross multiply
    138,418.72x = 206,869.54 × 101,057.46
  4. Step 4: Simplify right side
    138,418.72x = 20,905,710,263.77
  5. Step 5: Solve for x
    x = 20,905,710,263.77/138,418.72
  6. Step 6: Final answer
    x = 151,032.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.