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Finding the Fourth Proportional to 78,408.64, 117,575.90 and 30,399.71

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Solution

The fourth proportional to 78,408.64, 117,575.90 and 30,399.71 is: 45,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408.64 : 117,575.90 = 30,399.71 : x
  2. Step 2: Convert to fraction form
    78,408.64/117,575.90 = 30,399.71/x
  3. Step 3: Cross multiply
    78,408.64x = 117,575.90 × 30,399.71
  4. Step 4: Simplify right side
    78,408.64x = 3,574,273,110.99
  5. Step 5: Solve for x
    x = 3,574,273,110.99/78,408.64
  6. Step 6: Final answer
    x = 45,585.20

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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.