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Finding the Fourth Proportional to 75,881.80, 113,822.70 and 40,452.40

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Solution

The fourth proportional to 75,881.80, 113,822.70 and 40,452.40 is: 60,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.80 : 113,822.70 = 40,452.40 : x
  2. Step 2: Convert to fraction form
    75,881.80/113,822.70 = 40,452.40/x
  3. Step 3: Cross multiply
    75,881.80x = 113,822.70 × 40,452.40
  4. Step 4: Simplify right side
    75,881.80x = 4,604,401,389.48
  5. Step 5: Solve for x
    x = 4,604,401,389.48/75,881.80
  6. Step 6: Final answer
    x = 60,678.60

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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.