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Finding the Fourth Proportional to 39,475.68, 59,214.12 and 13,180.44

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Solution

The fourth proportional to 39,475.68, 59,214.12 and 13,180.44 is: 19,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,475.68 : 59,214.12 = 13,180.44 : x
  2. Step 2: Convert to fraction form
    39,475.68/59,214.12 = 13,180.44/x
  3. Step 3: Cross multiply
    39,475.68x = 59,214.12 × 13,180.44
  4. Step 4: Simplify right side
    39,475.68x = 780,468,155.81
  5. Step 5: Solve for x
    x = 780,468,155.81/39,475.68
  6. Step 6: Final answer
    x = 19,770.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.