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Finding the Fourth Proportional to 75,423.20, 113,126.70 and 20,019.20

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Solution

The fourth proportional to 75,423.20, 113,126.70 and 20,019.20 is: 30,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,423.20 : 113,126.70 = 20,019.20 : x
  2. Step 2: Convert to fraction form
    75,423.20/113,126.70 = 20,019.20/x
  3. Step 3: Cross multiply
    75,423.20x = 113,126.70 × 20,019.20
  4. Step 4: Simplify right side
    75,423.20x = 2,264,706,032.64
  5. Step 5: Solve for x
    x = 2,264,706,032.64/75,423.20
  6. Step 6: Final answer
    x = 30,026.65

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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.