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Finding the Fourth Proportional to 123,609.50, 185,421.47 and 47,708.42

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Solution

The fourth proportional to 123,609.50, 185,421.47 and 47,708.42 is: 71,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,609.50 : 185,421.47 = 47,708.42 : x
  2. Step 2: Convert to fraction form
    123,609.50/185,421.47 = 47,708.42/x
  3. Step 3: Cross multiply
    123,609.50x = 185,421.47 × 47,708.42
  4. Step 4: Simplify right side
    123,609.50x = 8,846,164,202.13
  5. Step 5: Solve for x
    x = 8,846,164,202.13/123,609.50
  6. Step 6: Final answer
    x = 71,565.41

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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.