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Finding the Fourth Proportional to 135,047.28, 186,374 and 74,617.92

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Solution

The fourth proportional to 135,047.28, 186,374 and 74,617.92 is: 102,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,047.28 : 186,374 = 74,617.92 : x
  2. Step 2: Convert to fraction form
    135,047.28/186,374 = 74,617.92/x
  3. Step 3: Cross multiply
    135,047.28x = 186,374 × 74,617.92
  4. Step 4: Simplify right side
    135,047.28x = 13,906,840,222.08
  5. Step 5: Solve for x
    x = 13,906,840,222.08/135,047.28
  6. Step 6: Final answer
    x = 102,977.57

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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.