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Finding the Fourth Proportional to 149,381.80, 224,072.70 and 142,124.20

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Solution

The fourth proportional to 149,381.80, 224,072.70 and 142,124.20 is: 213,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,381.80 : 224,072.70 = 142,124.20 : x
  2. Step 2: Convert to fraction form
    149,381.80/224,072.70 = 142,124.20/x
  3. Step 3: Cross multiply
    149,381.80x = 224,072.70 × 142,124.20
  4. Step 4: Simplify right side
    149,381.80x = 31,846,153,229.34
  5. Step 5: Solve for x
    x = 31,846,153,229.34/149,381.80
  6. Step 6: Final answer
    x = 213,186.30

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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.