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Finding the Fourth Proportional to 137,967.20, 206,950.80 and 102,537.80

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Solution

The fourth proportional to 137,967.20, 206,950.80 and 102,537.80 is: 153,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,967.20 : 206,950.80 = 102,537.80 : x
  2. Step 2: Convert to fraction form
    137,967.20/206,950.80 = 102,537.80/x
  3. Step 3: Cross multiply
    137,967.20x = 206,950.80 × 102,537.80
  4. Step 4: Simplify right side
    137,967.20x = 21,220,279,740.24
  5. Step 5: Solve for x
    x = 21,220,279,740.24/137,967.20
  6. Step 6: Final answer
    x = 153,806.70

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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.