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Finding the Fourth Proportional to 139,599.66, 209,065.14 and 76,324.80

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Solution

The fourth proportional to 139,599.66, 209,065.14 and 76,324.80 is: 114,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,599.66 : 209,065.14 = 76,324.80 : x
  2. Step 2: Convert to fraction form
    139,599.66/209,065.14 = 76,324.80/x
  3. Step 3: Cross multiply
    139,599.66x = 209,065.14 × 76,324.80
  4. Step 4: Simplify right side
    139,599.66x = 15,956,854,997.47
  5. Step 5: Solve for x
    x = 15,956,854,997.47/139,599.66
  6. Step 6: Final answer
    x = 114,304.40

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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.