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Finding the Fourth Proportional to 100,006.11, 137,943.41 and 64,139.31

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Solution

The fourth proportional to 100,006.11, 137,943.41 and 64,139.31 is: 88,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006.11 : 137,943.41 = 64,139.31 : x
  2. Step 2: Convert to fraction form
    100,006.11/137,943.41 = 64,139.31/x
  3. Step 3: Cross multiply
    100,006.11x = 137,943.41 × 64,139.31
  4. Step 4: Simplify right side
    100,006.11x = 8,847,594,815.75
  5. Step 5: Solve for x
    x = 8,847,594,815.75/100,006.11
  6. Step 6: Final answer
    x = 88,470.54

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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.