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Finding the Fourth Proportional to 101,894.50, 140,627.37 and 57,182.50

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Solution

The fourth proportional to 101,894.50, 140,627.37 and 57,182.50 is: 78,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,894.50 : 140,627.37 = 57,182.50 : x
  2. Step 2: Convert to fraction form
    101,894.50/140,627.37 = 57,182.50/x
  3. Step 3: Cross multiply
    101,894.50x = 140,627.37 × 57,182.50
  4. Step 4: Simplify right side
    101,894.50x = 8,041,424,585.03
  5. Step 5: Solve for x
    x = 8,041,424,585.03/101,894.50
  6. Step 6: Final answer
    x = 78,919.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.