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Finding the Fourth Proportional to 135,005.54, 186,360.75 and 89,057.88

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Solution

The fourth proportional to 135,005.54, 186,360.75 and 89,057.88 is: 122,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,005.54 : 186,360.75 = 89,057.88 : x
  2. Step 2: Convert to fraction form
    135,005.54/186,360.75 = 89,057.88/x
  3. Step 3: Cross multiply
    135,005.54x = 186,360.75 × 89,057.88
  4. Step 4: Simplify right side
    135,005.54x = 16,596,893,310.21
  5. Step 5: Solve for x
    x = 16,596,893,310.21/135,005.54
  6. Step 6: Final answer
    x = 122,934.91

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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.