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Finding the Fourth Proportional to 143,578, 215,375.64 and 45,082

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Solution

The fourth proportional to 143,578, 215,375.64 and 45,082 is: 67,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,578 : 215,375.64 = 45,082 : x
  2. Step 2: Convert to fraction form
    143,578/215,375.64 = 45,082/x
  3. Step 3: Cross multiply
    143,578x = 215,375.64 × 45,082
  4. Step 4: Simplify right side
    143,578x = 9,709,564,602.48
  5. Step 5: Solve for x
    x = 9,709,564,602.48/143,578
  6. Step 6: Final answer
    x = 67,625.71

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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.