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Finding the Fourth Proportional to 135,432, 186,896.16 and 75,816

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Solution

The fourth proportional to 135,432, 186,896.16 and 75,816 is: 104,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,432 : 186,896.16 = 75,816 : x
  2. Step 2: Convert to fraction form
    135,432/186,896.16 = 75,816/x
  3. Step 3: Cross multiply
    135,432x = 186,896.16 × 75,816
  4. Step 4: Simplify right side
    135,432x = 14,169,719,266.56
  5. Step 5: Solve for x
    x = 14,169,719,266.56/135,432
  6. Step 6: Final answer
    x = 104,626.08

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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.