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Finding the Fourth Proportional to 75,433.20, 113,149.80 and 49,189.20

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Solution

The fourth proportional to 75,433.20, 113,149.80 and 49,189.20 is: 73,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433.20 : 113,149.80 = 49,189.20 : x
  2. Step 2: Convert to fraction form
    75,433.20/113,149.80 = 49,189.20/x
  3. Step 3: Cross multiply
    75,433.20x = 113,149.80 × 49,189.20
  4. Step 4: Simplify right side
    75,433.20x = 5,565,748,142.16
  5. Step 5: Solve for x
    x = 5,565,748,142.16/75,433.20
  6. Step 6: Final answer
    x = 73,783.80

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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.