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Finding the Fourth Proportional to 139,547.41, 209,080.36 and 76,412.97

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Solution

The fourth proportional to 139,547.41, 209,080.36 and 76,412.97 is: 114,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,547.41 : 209,080.36 = 76,412.97 : x
  2. Step 2: Convert to fraction form
    139,547.41/209,080.36 = 76,412.97/x
  3. Step 3: Cross multiply
    139,547.41x = 209,080.36 × 76,412.97
  4. Step 4: Simplify right side
    139,547.41x = 15,976,451,586.70
  5. Step 5: Solve for x
    x = 15,976,451,586.70/139,547.41
  6. Step 6: Final answer
    x = 114,487.63

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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.