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Finding the Fourth Proportional to 57,319.32, 85,977.54 and 19,906.20

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Solution

The fourth proportional to 57,319.32, 85,977.54 and 19,906.20 is: 29,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,319.32 : 85,977.54 = 19,906.20 : x
  2. Step 2: Convert to fraction form
    57,319.32/85,977.54 = 19,906.20/x
  3. Step 3: Cross multiply
    57,319.32x = 85,977.54 × 19,906.20
  4. Step 4: Simplify right side
    57,319.32x = 1,711,486,106.75
  5. Step 5: Solve for x
    x = 1,711,486,106.75/57,319.32
  6. Step 6: Final answer
    x = 29,858.80

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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.