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Finding the Fourth Proportional to 97,757.28, 146,733.12 and 45,178.56

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Solution

The fourth proportional to 97,757.28, 146,733.12 and 45,178.56 is: 67,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,757.28 : 146,733.12 = 45,178.56 : x
  2. Step 2: Convert to fraction form
    97,757.28/146,733.12 = 45,178.56/x
  3. Step 3: Cross multiply
    97,757.28x = 146,733.12 × 45,178.56
  4. Step 4: Simplify right side
    97,757.28x = 6,629,191,065.91
  5. Step 5: Solve for x
    x = 6,629,191,065.91/97,757.28
  6. Step 6: Final answer
    x = 67,812.76

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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.