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Finding the Fourth Proportional to 128,912, 193,368 and 45,809.28

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Solution

The fourth proportional to 128,912, 193,368 and 45,809.28 is: 68,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,912 : 193,368 = 45,809.28 : x
  2. Step 2: Convert to fraction form
    128,912/193,368 = 45,809.28/x
  3. Step 3: Cross multiply
    128,912x = 193,368 × 45,809.28
  4. Step 4: Simplify right side
    128,912x = 8,858,048,855.04
  5. Step 5: Solve for x
    x = 8,858,048,855.04/128,912
  6. Step 6: Final answer
    x = 68,713.92

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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.