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Finding the Fourth Proportional to 136,884.50, 205,310.58 and 42,114.50

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Solution

The fourth proportional to 136,884.50, 205,310.58 and 42,114.50 is: 63,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,884.50 : 205,310.58 = 42,114.50 : x
  2. Step 2: Convert to fraction form
    136,884.50/205,310.58 = 42,114.50/x
  3. Step 3: Cross multiply
    136,884.50x = 205,310.58 × 42,114.50
  4. Step 4: Simplify right side
    136,884.50x = 8,646,552,934.69
  5. Step 5: Solve for x
    x = 8,646,552,934.69/136,884.50
  6. Step 6: Final answer
    x = 63,166.78

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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.