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Finding the Fourth Proportional to 137,675.67, 206,575.45 and 74,421.72

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Solution

The fourth proportional to 137,675.67, 206,575.45 and 74,421.72 is: 111,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,675.67 : 206,575.45 = 74,421.72 : x
  2. Step 2: Convert to fraction form
    137,675.67/206,575.45 = 74,421.72/x
  3. Step 3: Cross multiply
    137,675.67x = 206,575.45 × 74,421.72
  4. Step 4: Simplify right side
    137,675.67x = 15,373,700,112.72
  5. Step 5: Solve for x
    x = 15,373,700,112.72/137,675.67
  6. Step 6: Final answer
    x = 111,666.07

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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.