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Finding the Fourth Proportional to 72,854, 109,306.92 and 35,943.92

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Solution

The fourth proportional to 72,854, 109,306.92 and 35,943.92 is: 53,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,854 : 109,306.92 = 35,943.92 : x
  2. Step 2: Convert to fraction form
    72,854/109,306.92 = 35,943.92/x
  3. Step 3: Cross multiply
    72,854x = 109,306.92 × 35,943.92
  4. Step 4: Simplify right side
    72,854x = 3,928,919,187.93
  5. Step 5: Solve for x
    x = 3,928,919,187.93/72,854
  6. Step 6: Final answer
    x = 53,928.67

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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.