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Finding the Fourth Proportional to 72,870.75, 109,337.90 and 25,519.81

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Solution

The fourth proportional to 72,870.75, 109,337.90 and 25,519.81 is: 38,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,870.75 : 109,337.90 = 25,519.81 : x
  2. Step 2: Convert to fraction form
    72,870.75/109,337.90 = 25,519.81/x
  3. Step 3: Cross multiply
    72,870.75x = 109,337.90 × 25,519.81
  4. Step 4: Simplify right side
    72,870.75x = 2,790,282,579.54
  5. Step 5: Solve for x
    x = 2,790,282,579.54/72,870.75
  6. Step 6: Final answer
    x = 38,290.84

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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.