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Finding the Fourth Proportional to 121,494.93, 182,094.65 and 85,966.49

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Solution

The fourth proportional to 121,494.93, 182,094.65 and 85,966.49 is: 128,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,494.93 : 182,094.65 = 85,966.49 : x
  2. Step 2: Convert to fraction form
    121,494.93/182,094.65 = 85,966.49/x
  3. Step 3: Cross multiply
    121,494.93x = 182,094.65 × 85,966.49
  4. Step 4: Simplify right side
    121,494.93x = 15,654,037,573.20
  5. Step 5: Solve for x
    x = 15,654,037,573.20/121,494.93
  6. Step 6: Final answer
    x = 128,845.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.