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Finding the Fourth Proportional to 73,266.80, 109,813.80 and 38,188.40

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Solution

The fourth proportional to 73,266.80, 109,813.80 and 38,188.40 is: 57,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,266.80 : 109,813.80 = 38,188.40 : x
  2. Step 2: Convert to fraction form
    73,266.80/109,813.80 = 38,188.40/x
  3. Step 3: Cross multiply
    73,266.80x = 109,813.80 × 38,188.40
  4. Step 4: Simplify right side
    73,266.80x = 4,193,613,319.92
  5. Step 5: Solve for x
    x = 4,193,613,319.92/73,266.80
  6. Step 6: Final answer
    x = 57,237.57

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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.