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Finding the Fourth Proportional to 75,992.40, 113,977.80 and 23,407.20

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Solution

The fourth proportional to 75,992.40, 113,977.80 and 23,407.20 is: 35,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,992.40 : 113,977.80 = 23,407.20 : x
  2. Step 2: Convert to fraction form
    75,992.40/113,977.80 = 23,407.20/x
  3. Step 3: Cross multiply
    75,992.40x = 113,977.80 × 23,407.20
  4. Step 4: Simplify right side
    75,992.40x = 2,667,901,160.16
  5. Step 5: Solve for x
    x = 2,667,901,160.16/75,992.40
  6. Step 6: Final answer
    x = 35,107.47

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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.