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Finding the Fourth Proportional to 57,115.98, 78,820.04 and 31,965.48

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Solution

The fourth proportional to 57,115.98, 78,820.04 and 31,965.48 is: 44,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115.98 : 78,820.04 = 31,965.48 : x
  2. Step 2: Convert to fraction form
    57,115.98/78,820.04 = 31,965.48/x
  3. Step 3: Cross multiply
    57,115.98x = 78,820.04 × 31,965.48
  4. Step 4: Simplify right side
    57,115.98x = 2,519,520,492.13
  5. Step 5: Solve for x
    x = 2,519,520,492.13/57,115.98
  6. Step 6: Final answer
    x = 44,112.36

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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.