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Finding the Fourth Proportional to 137,421.80, 206,012.70 and 53,239.40

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Solution

The fourth proportional to 137,421.80, 206,012.70 and 53,239.40 is: 79,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,421.80 : 206,012.70 = 53,239.40 : x
  2. Step 2: Convert to fraction form
    137,421.80/206,012.70 = 53,239.40/x
  3. Step 3: Cross multiply
    137,421.80x = 206,012.70 × 53,239.40
  4. Step 4: Simplify right side
    137,421.80x = 10,967,992,540.38
  5. Step 5: Solve for x
    x = 10,967,992,540.38/137,421.80
  6. Step 6: Final answer
    x = 79,812.61

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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.