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Finding the Fourth Proportional to 78,489.67, 117,758.82 and 27,202.71

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Solution

The fourth proportional to 78,489.67, 117,758.82 and 27,202.71 is: 40,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,489.67 : 117,758.82 = 27,202.71 : x
  2. Step 2: Convert to fraction form
    78,489.67/117,758.82 = 27,202.71/x
  3. Step 3: Cross multiply
    78,489.67x = 117,758.82 × 27,202.71
  4. Step 4: Simplify right side
    78,489.67x = 3,203,359,030.40
  5. Step 5: Solve for x
    x = 3,203,359,030.40/78,489.67
  6. Step 6: Final answer
    x = 40,812.49

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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.