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Finding the Fourth Proportional to 147,115.78, 220,895.10 and 84,007.16

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Solution

The fourth proportional to 147,115.78, 220,895.10 and 84,007.16 is: 126,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,115.78 : 220,895.10 = 84,007.16 : x
  2. Step 2: Convert to fraction form
    147,115.78/220,895.10 = 84,007.16/x
  3. Step 3: Cross multiply
    147,115.78x = 220,895.10 × 84,007.16
  4. Step 4: Simplify right side
    147,115.78x = 18,556,769,732.80
  5. Step 5: Solve for x
    x = 18,556,769,732.80/147,115.78
  6. Step 6: Final answer
    x = 126,137.18

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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.