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Finding the Fourth Proportional to 101,984.52, 140,713.16 and 61,155.06

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Solution

The fourth proportional to 101,984.52, 140,713.16 and 61,155.06 is: 84,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,984.52 : 140,713.16 = 61,155.06 : x
  2. Step 2: Convert to fraction form
    101,984.52/140,713.16 = 61,155.06/x
  3. Step 3: Cross multiply
    101,984.52x = 140,713.16 × 61,155.06
  4. Step 4: Simplify right side
    101,984.52x = 8,605,321,742.59
  5. Step 5: Solve for x
    x = 8,605,321,742.59/101,984.52
  6. Step 6: Final answer
    x = 84,378.71

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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.