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Finding the Fourth Proportional to 143,530.64, 215,310.64 and 54,858.78

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Solution

The fourth proportional to 143,530.64, 215,310.64 and 54,858.78 is: 82,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,530.64 : 215,310.64 = 54,858.78 : x
  2. Step 2: Convert to fraction form
    143,530.64/215,310.64 = 54,858.78/x
  3. Step 3: Cross multiply
    143,530.64x = 215,310.64 × 54,858.78
  4. Step 4: Simplify right side
    143,530.64x = 11,811,679,031.42
  5. Step 5: Solve for x
    x = 11,811,679,031.42/143,530.64
  6. Step 6: Final answer
    x = 82,293.78

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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.