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Finding the Fourth Proportional to 143,528.64, 215,307.64 and 54,856.78

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Solution

The fourth proportional to 143,528.64, 215,307.64 and 54,856.78 is: 82,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,528.64 : 215,307.64 = 54,856.78 : x
  2. Step 2: Convert to fraction form
    143,528.64/215,307.64 = 54,856.78/x
  3. Step 3: Cross multiply
    143,528.64x = 215,307.64 × 54,856.78
  4. Step 4: Simplify right side
    143,528.64x = 11,811,083,839.80
  5. Step 5: Solve for x
    x = 11,811,083,839.80/143,528.64
  6. Step 6: Final answer
    x = 82,290.78

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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.