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Finding the Fourth Proportional to 96,191.36, 144,288 and 33,862.40

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Solution

The fourth proportional to 96,191.36, 144,288 and 33,862.40 is: 50,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,191.36 : 144,288 = 33,862.40 : x
  2. Step 2: Convert to fraction form
    96,191.36/144,288 = 33,862.40/x
  3. Step 3: Cross multiply
    96,191.36x = 144,288 × 33,862.40
  4. Step 4: Simplify right side
    96,191.36x = 4,885,937,971.20
  5. Step 5: Solve for x
    x = 4,885,937,971.20/96,191.36
  6. Step 6: Final answer
    x = 50,793.94

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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.