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Finding the Fourth Proportional to 75,668.40, 113,503.20 and 23,078.40

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Solution

The fourth proportional to 75,668.40, 113,503.20 and 23,078.40 is: 34,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,668.40 : 113,503.20 = 23,078.40 : x
  2. Step 2: Convert to fraction form
    75,668.40/113,503.20 = 23,078.40/x
  3. Step 3: Cross multiply
    75,668.40x = 113,503.20 × 23,078.40
  4. Step 4: Simplify right side
    75,668.40x = 2,619,472,250.88
  5. Step 5: Solve for x
    x = 2,619,472,250.88/75,668.40
  6. Step 6: Final answer
    x = 34,617.78

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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.