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Finding the Fourth Proportional to 128,896, 193,344 and 45,793.28

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Solution

The fourth proportional to 128,896, 193,344 and 45,793.28 is: 68,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,896 : 193,344 = 45,793.28 : x
  2. Step 2: Convert to fraction form
    128,896/193,344 = 45,793.28/x
  3. Step 3: Cross multiply
    128,896x = 193,344 × 45,793.28
  4. Step 4: Simplify right side
    128,896x = 8,853,855,928.32
  5. Step 5: Solve for x
    x = 8,853,855,928.32/128,896
  6. Step 6: Final answer
    x = 68,689.92

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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.