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Finding the Fourth Proportional to 127,128, 175,436.64 and 82,416

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Solution

The fourth proportional to 127,128, 175,436.64 and 82,416 is: 113,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,128 : 175,436.64 = 82,416 : x
  2. Step 2: Convert to fraction form
    127,128/175,436.64 = 82,416/x
  3. Step 3: Cross multiply
    127,128x = 175,436.64 × 82,416
  4. Step 4: Simplify right side
    127,128x = 14,458,786,122.24
  5. Step 5: Solve for x
    x = 14,458,786,122.24/127,128
  6. Step 6: Final answer
    x = 113,734.08

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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.