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Finding the Fourth Proportional to 135,089.64, 186,410.78 and 74,650.52

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Solution

The fourth proportional to 135,089.64, 186,410.78 and 74,650.52 is: 103,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,089.64 : 186,410.78 = 74,650.52 : x
  2. Step 2: Convert to fraction form
    135,089.64/186,410.78 = 74,650.52/x
  3. Step 3: Cross multiply
    135,089.64x = 186,410.78 × 74,650.52
  4. Step 4: Simplify right side
    135,089.64x = 13,915,661,660.61
  5. Step 5: Solve for x
    x = 13,915,661,660.61/135,089.64
  6. Step 6: Final answer
    x = 103,010.58

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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.