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Finding the Fourth Proportional to 106,540.30, 147,020.60 and 61,186.30

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Solution

The fourth proportional to 106,540.30, 147,020.60 and 61,186.30 is: 84,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.30 : 147,020.60 = 61,186.30 : x
  2. Step 2: Convert to fraction form
    106,540.30/147,020.60 = 61,186.30/x
  3. Step 3: Cross multiply
    106,540.30x = 147,020.60 × 61,186.30
  4. Step 4: Simplify right side
    106,540.30x = 8,995,646,537.78
  5. Step 5: Solve for x
    x = 8,995,646,537.78/106,540.30
  6. Step 6: Final answer
    x = 84,434.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.