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Finding the Fourth Proportional to 207,186.52, 310,779.78 and 137,049.43

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Solution

The fourth proportional to 207,186.52, 310,779.78 and 137,049.43 is: 205,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,186.52 : 310,779.78 = 137,049.43 : x
  2. Step 2: Convert to fraction form
    207,186.52/310,779.78 = 137,049.43/x
  3. Step 3: Cross multiply
    207,186.52x = 310,779.78 × 137,049.43
  4. Step 4: Simplify right side
    207,186.52x = 42,592,191,704.53
  5. Step 5: Solve for x
    x = 42,592,191,704.53/207,186.52
  6. Step 6: Final answer
    x = 205,574.15

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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.