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Finding the Fourth Proportional to 106,540.80, 147,021.30 and 61,186.80

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Solution

The fourth proportional to 106,540.80, 147,021.30 and 61,186.80 is: 84,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.80 : 147,021.30 = 61,186.80 : x
  2. Step 2: Convert to fraction form
    106,540.80/147,021.30 = 61,186.80/x
  3. Step 3: Cross multiply
    106,540.80x = 147,021.30 × 61,186.80
  4. Step 4: Simplify right side
    106,540.80x = 8,995,762,878.84
  5. Step 5: Solve for x
    x = 8,995,762,878.84/106,540.80
  6. Step 6: Final answer
    x = 84,434.91

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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.