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Finding the Fourth Proportional to 137,963, 207,133.68 and 71,449.04

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Solution

The fourth proportional to 137,963, 207,133.68 and 71,449.04 is: 107,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,963 : 207,133.68 = 71,449.04 : x
  2. Step 2: Convert to fraction form
    137,963/207,133.68 = 71,449.04/x
  3. Step 3: Cross multiply
    137,963x = 207,133.68 × 71,449.04
  4. Step 4: Simplify right side
    137,963x = 14,799,502,587.67
  5. Step 5: Solve for x
    x = 14,799,502,587.67/137,963
  6. Step 6: Final answer
    x = 107,271.53

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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.