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Finding the Fourth Proportional to 57,211.20, 78,872.40 and 35,978.40

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Solution

The fourth proportional to 57,211.20, 78,872.40 and 35,978.40 is: 49,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,211.20 : 78,872.40 = 35,978.40 : x
  2. Step 2: Convert to fraction form
    57,211.20/78,872.40 = 35,978.40/x
  3. Step 3: Cross multiply
    57,211.20x = 78,872.40 × 35,978.40
  4. Step 4: Simplify right side
    57,211.20x = 2,837,702,756.16
  5. Step 5: Solve for x
    x = 2,837,702,756.16/57,211.20
  6. Step 6: Final answer
    x = 49,600.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.