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Finding the Fourth Proportional to 185,032, 255,343.68 and 100,149.04

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Solution

The fourth proportional to 185,032, 255,343.68 and 100,149.04 is: 138,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,032 : 255,343.68 = 100,149.04 : x
  2. Step 2: Convert to fraction form
    185,032/255,343.68 = 100,149.04/x
  3. Step 3: Cross multiply
    185,032x = 255,343.68 × 100,149.04
  4. Step 4: Simplify right side
    185,032x = 25,572,424,422.07
  5. Step 5: Solve for x
    x = 25,572,424,422.07/185,032
  6. Step 6: Final answer
    x = 138,205.42

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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.