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Finding the Fourth Proportional to 145,314.28, 217,892.38 and 45,431.40

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Solution

The fourth proportional to 145,314.28, 217,892.38 and 45,431.40 is: 68,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,314.28 : 217,892.38 = 45,431.40 : x
  2. Step 2: Convert to fraction form
    145,314.28/217,892.38 = 45,431.40/x
  3. Step 3: Cross multiply
    145,314.28x = 217,892.38 × 45,431.40
  4. Step 4: Simplify right side
    145,314.28x = 9,899,155,872.73
  5. Step 5: Solve for x
    x = 9,899,155,872.73/145,314.28
  6. Step 6: Final answer
    x = 68,122.39

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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.