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Finding the Fourth Proportional to 57,108.72, 78,811.08 and 31,958.16

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Solution

The fourth proportional to 57,108.72, 78,811.08 and 31,958.16 is: 44,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,108.72 : 78,811.08 = 31,958.16 : x
  2. Step 2: Convert to fraction form
    57,108.72/78,811.08 = 31,958.16/x
  3. Step 3: Cross multiply
    57,108.72x = 78,811.08 × 31,958.16
  4. Step 4: Simplify right side
    57,108.72x = 2,518,657,104.41
  5. Step 5: Solve for x
    x = 2,518,657,104.41/57,108.72
  6. Step 6: Final answer
    x = 44,102.85

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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.