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Finding the Fourth Proportional to 57,115.50, 85,575.76 and 40,447.84

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Solution

The fourth proportional to 57,115.50, 85,575.76 and 40,447.84 is: 60,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115.50 : 85,575.76 = 40,447.84 : x
  2. Step 2: Convert to fraction form
    57,115.50/85,575.76 = 40,447.84/x
  3. Step 3: Cross multiply
    57,115.50x = 85,575.76 × 40,447.84
  4. Step 4: Simplify right side
    57,115.50x = 3,461,354,648.36
  5. Step 5: Solve for x
    x = 3,461,354,648.36/57,115.50
  6. Step 6: Final answer
    x = 60,602.72

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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.