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Finding the Fourth Proportional to 136,820.30, 204,841.65 and 121,268.30

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Solution

The fourth proportional to 136,820.30, 204,841.65 and 121,268.30 is: 181,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,820.30 : 204,841.65 = 121,268.30 : x
  2. Step 2: Convert to fraction form
    136,820.30/204,841.65 = 121,268.30/x
  3. Step 3: Cross multiply
    136,820.30x = 204,841.65 × 121,268.30
  4. Step 4: Simplify right side
    136,820.30x = 24,840,798,664.70
  5. Step 5: Solve for x
    x = 24,840,798,664.70/136,820.30
  6. Step 6: Final answer
    x = 181,557.84

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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.