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Finding the Fourth Proportional to 168,076.14, 231,871.59 and 120,312.06

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Solution

The fourth proportional to 168,076.14, 231,871.59 and 120,312.06 is: 165,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,076.14 : 231,871.59 = 120,312.06 : x
  2. Step 2: Convert to fraction form
    168,076.14/231,871.59 = 120,312.06/x
  3. Step 3: Cross multiply
    168,076.14x = 231,871.59 × 120,312.06
  4. Step 4: Simplify right side
    168,076.14x = 27,896,948,648.38
  5. Step 5: Solve for x
    x = 27,896,948,648.38/168,076.14
  6. Step 6: Final answer
    x = 165,978.04

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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.