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Finding the Fourth Proportional to 128,907.15, 177,891.95 and 71,546.49

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Solution

The fourth proportional to 128,907.15, 177,891.95 and 71,546.49 is: 98,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,907.15 : 177,891.95 = 71,546.49 : x
  2. Step 2: Convert to fraction form
    128,907.15/177,891.95 = 71,546.49/x
  3. Step 3: Cross multiply
    128,907.15x = 177,891.95 × 71,546.49
  4. Step 4: Simplify right side
    128,907.15x = 12,727,544,398.17
  5. Step 5: Solve for x
    x = 12,727,544,398.17/128,907.15
  6. Step 6: Final answer
    x = 98,734.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.