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Finding the Fourth Proportional to 138,722.10, 208,083.15 and 138,722.10

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Solution

The fourth proportional to 138,722.10, 208,083.15 and 138,722.10 is: 208,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722.10 : 208,083.15 = 138,722.10 : x
  2. Step 2: Convert to fraction form
    138,722.10/208,083.15 = 138,722.10/x
  3. Step 3: Cross multiply
    138,722.10x = 208,083.15 × 138,722.10
  4. Step 4: Simplify right side
    138,722.10x = 28,865,731,542.62
  5. Step 5: Solve for x
    x = 28,865,731,542.62/138,722.10
  6. Step 6: Final answer
    x = 208,083.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.