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Finding the Fourth Proportional to 57,159.68, 85,750.40 and 20,249.60

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Solution

The fourth proportional to 57,159.68, 85,750.40 and 20,249.60 is: 30,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,159.68 : 85,750.40 = 20,249.60 : x
  2. Step 2: Convert to fraction form
    57,159.68/85,750.40 = 20,249.60/x
  3. Step 3: Cross multiply
    57,159.68x = 85,750.40 × 20,249.60
  4. Step 4: Simplify right side
    57,159.68x = 1,736,411,299.84
  5. Step 5: Solve for x
    x = 1,736,411,299.84/57,159.68
  6. Step 6: Final answer
    x = 30,378.25

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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.