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Finding the Fourth Proportional to 168,122.64, 232,006 and 91,642.40

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Solution

The fourth proportional to 168,122.64, 232,006 and 91,642.40 is: 126,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,122.64 : 232,006 = 91,642.40 : x
  2. Step 2: Convert to fraction form
    168,122.64/232,006 = 91,642.40/x
  3. Step 3: Cross multiply
    168,122.64x = 232,006 × 91,642.40
  4. Step 4: Simplify right side
    168,122.64x = 21,261,586,654.40
  5. Step 5: Solve for x
    x = 21,261,586,654.40/168,122.64
  6. Step 6: Final answer
    x = 126,464.74

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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.