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Finding the Fourth Proportional to 142,052.68, 213,023.68 and 53,257.76

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Solution

The fourth proportional to 142,052.68, 213,023.68 and 53,257.76 is: 79,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,052.68 : 213,023.68 = 53,257.76 : x
  2. Step 2: Convert to fraction form
    142,052.68/213,023.68 = 53,257.76/x
  3. Step 3: Cross multiply
    142,052.68x = 213,023.68 × 53,257.76
  4. Step 4: Simplify right side
    142,052.68x = 11,345,164,023.76
  5. Step 5: Solve for x
    x = 11,345,164,023.76/142,052.68
  6. Step 6: Final answer
    x = 79,865.89

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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.