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Finding the Fourth Proportional to 121,077, 181,616.40 and 42,191.10

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Solution

The fourth proportional to 121,077, 181,616.40 and 42,191.10 is: 63,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,077 : 181,616.40 = 42,191.10 : x
  2. Step 2: Convert to fraction form
    121,077/181,616.40 = 42,191.10/x
  3. Step 3: Cross multiply
    121,077x = 181,616.40 × 42,191.10
  4. Step 4: Simplify right side
    121,077x = 7,662,595,694.04
  5. Step 5: Solve for x
    x = 7,662,595,694.04/121,077
  6. Step 6: Final answer
    x = 63,286.96

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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.