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Finding the Fourth Proportional to 224,432.16, 309,828.61 and 139,576.56

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Solution

The fourth proportional to 224,432.16, 309,828.61 and 139,576.56 is: 192,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,432.16 : 309,828.61 = 139,576.56 : x
  2. Step 2: Convert to fraction form
    224,432.16/309,828.61 = 139,576.56/x
  3. Step 3: Cross multiply
    224,432.16x = 309,828.61 × 139,576.56
  4. Step 4: Simplify right side
    224,432.16x = 43,244,811,573.38
  5. Step 5: Solve for x
    x = 43,244,811,573.38/224,432.16
  6. Step 6: Final answer
    x = 192,685.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.