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Finding the Fourth Proportional to 75,781.28, 113,728.08 and 61,165.28

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Solution

The fourth proportional to 75,781.28, 113,728.08 and 61,165.28 is: 91,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,781.28 : 113,728.08 = 61,165.28 : x
  2. Step 2: Convert to fraction form
    75,781.28/113,728.08 = 61,165.28/x
  3. Step 3: Cross multiply
    75,781.28x = 113,728.08 × 61,165.28
  4. Step 4: Simplify right side
    75,781.28x = 6,956,209,857.06
  5. Step 5: Solve for x
    x = 6,956,209,857.06/75,781.28
  6. Step 6: Final answer
    x = 91,793.25

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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.