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Finding the Fourth Proportional to 121,134.60, 181,734.30 and 86,142.60

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Solution

The fourth proportional to 121,134.60, 181,734.30 and 86,142.60 is: 129,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,134.60 : 181,734.30 = 86,142.60 : x
  2. Step 2: Convert to fraction form
    121,134.60/181,734.30 = 86,142.60/x
  3. Step 3: Cross multiply
    121,134.60x = 181,734.30 × 86,142.60
  4. Step 4: Simplify right side
    121,134.60x = 15,655,065,111.18
  5. Step 5: Solve for x
    x = 15,655,065,111.18/121,134.60
  6. Step 6: Final answer
    x = 129,236.94

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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.