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Finding the Fourth Proportional to 57,115.76, 78,820.20 and 31,965.20

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Solution

The fourth proportional to 57,115.76, 78,820.20 and 31,965.20 is: 44,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115.76 : 78,820.20 = 31,965.20 : x
  2. Step 2: Convert to fraction form
    57,115.76/78,820.20 = 31,965.20/x
  3. Step 3: Cross multiply
    57,115.76x = 78,820.20 × 31,965.20
  4. Step 4: Simplify right side
    57,115.76x = 2,519,503,457.04
  5. Step 5: Solve for x
    x = 2,519,503,457.04/57,115.76
  6. Step 6: Final answer
    x = 44,112.23

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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.