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Finding the Fourth Proportional to 136,884.75, 205,310.95 and 42,114.75

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Solution

The fourth proportional to 136,884.75, 205,310.95 and 42,114.75 is: 63,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,884.75 : 205,310.95 = 42,114.75 : x
  2. Step 2: Convert to fraction form
    136,884.75/205,310.95 = 42,114.75/x
  3. Step 3: Cross multiply
    136,884.75x = 205,310.95 × 42,114.75
  4. Step 4: Simplify right side
    136,884.75x = 8,646,619,331.51
  5. Step 5: Solve for x
    x = 8,646,619,331.51/136,884.75
  6. Step 6: Final answer
    x = 63,167.15

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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.