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Finding the Fourth Proportional to 136,770.40, 205,135.08 and 43,264

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Solution

The fourth proportional to 136,770.40, 205,135.08 and 43,264 is: 64,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,770.40 : 205,135.08 = 43,264 : x
  2. Step 2: Convert to fraction form
    136,770.40/205,135.08 = 43,264/x
  3. Step 3: Cross multiply
    136,770.40x = 205,135.08 × 43,264
  4. Step 4: Simplify right side
    136,770.40x = 8,874,964,101.12
  5. Step 5: Solve for x
    x = 8,874,964,101.12/136,770.40
  6. Step 6: Final answer
    x = 64,889.51

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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.