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Finding the Fourth Proportional to 142,523.40, 213,734.70 and 49,007.40

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Solution

The fourth proportional to 142,523.40, 213,734.70 and 49,007.40 is: 73,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,523.40 : 213,734.70 = 49,007.40 : x
  2. Step 2: Convert to fraction form
    142,523.40/213,734.70 = 49,007.40/x
  3. Step 3: Cross multiply
    142,523.40x = 213,734.70 × 49,007.40
  4. Step 4: Simplify right side
    142,523.40x = 10,474,581,936.78
  5. Step 5: Solve for x
    x = 10,474,581,936.78/142,523.40
  6. Step 6: Final answer
    x = 73,493.77

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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.