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Finding the Fourth Proportional to 137,769.76, 206,284.40 and 87,577.76

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Solution

The fourth proportional to 137,769.76, 206,284.40 and 87,577.76 is: 131,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,769.76 : 206,284.40 = 87,577.76 : x
  2. Step 2: Convert to fraction form
    137,769.76/206,284.40 = 87,577.76/x
  3. Step 3: Cross multiply
    137,769.76x = 206,284.40 × 87,577.76
  4. Step 4: Simplify right side
    137,769.76x = 18,065,925,674.94
  5. Step 5: Solve for x
    x = 18,065,925,674.94/137,769.76
  6. Step 6: Final answer
    x = 131,131.29

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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.