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Finding the Fourth Proportional to 137,449.51, 206,206.55 and 42,674.80

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Solution

The fourth proportional to 137,449.51, 206,206.55 and 42,674.80 is: 64,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,449.51 : 206,206.55 = 42,674.80 : x
  2. Step 2: Convert to fraction form
    137,449.51/206,206.55 = 42,674.80/x
  3. Step 3: Cross multiply
    137,449.51x = 206,206.55 × 42,674.80
  4. Step 4: Simplify right side
    137,449.51x = 8,799,823,279.94
  5. Step 5: Solve for x
    x = 8,799,823,279.94/137,449.51
  6. Step 6: Final answer
    x = 64,022.22

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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.