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Finding the Fourth Proportional to 138,506.02, 207,685.10 and 71,879.06

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Solution

The fourth proportional to 138,506.02, 207,685.10 and 71,879.06 is: 107,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,506.02 : 207,685.10 = 71,879.06 : x
  2. Step 2: Convert to fraction form
    138,506.02/207,685.10 = 71,879.06/x
  3. Step 3: Cross multiply
    138,506.02x = 207,685.10 × 71,879.06
  4. Step 4: Simplify right side
    138,506.02x = 14,928,209,764.01
  5. Step 5: Solve for x
    x = 14,928,209,764.01/138,506.02
  6. Step 6: Final answer
    x = 107,780.22

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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.