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Finding the Fourth Proportional to 142,735.40, 214,052.70 and 49,219.40

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Solution

The fourth proportional to 142,735.40, 214,052.70 and 49,219.40 is: 73,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,735.40 : 214,052.70 = 49,219.40 : x
  2. Step 2: Convert to fraction form
    142,735.40/214,052.70 = 49,219.40/x
  3. Step 3: Cross multiply
    142,735.40x = 214,052.70 × 49,219.40
  4. Step 4: Simplify right side
    142,735.40x = 10,535,545,462.38
  5. Step 5: Solve for x
    x = 10,535,545,462.38/142,735.40
  6. Step 6: Final answer
    x = 73,811.72

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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.