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Finding the Fourth Proportional to 75,967.96, 113,938.80 and 20,551

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Solution

The fourth proportional to 75,967.96, 113,938.80 and 20,551 is: 30,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967.96 : 113,938.80 = 20,551 : x
  2. Step 2: Convert to fraction form
    75,967.96/113,938.80 = 20,551/x
  3. Step 3: Cross multiply
    75,967.96x = 113,938.80 × 20,551
  4. Step 4: Simplify right side
    75,967.96x = 2,341,556,278.80
  5. Step 5: Solve for x
    x = 2,341,556,278.80/75,967.96
  6. Step 6: Final answer
    x = 30,822.95

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1.5x scale

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.