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Finding the Fourth Proportional to 224,081.28, 336,174.12 and 99,432

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Solution

The fourth proportional to 224,081.28, 336,174.12 and 99,432 is: 149,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,081.28 : 336,174.12 = 99,432 : x
  2. Step 2: Convert to fraction form
    224,081.28/336,174.12 = 99,432/x
  3. Step 3: Cross multiply
    224,081.28x = 336,174.12 × 99,432
  4. Step 4: Simplify right side
    224,081.28x = 33,426,465,099.84
  5. Step 5: Solve for x
    x = 33,426,465,099.84/224,081.28
  6. Step 6: Final answer
    x = 149,171.16

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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.