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Finding the Fourth Proportional to 110,115.71, 151,970.32 and 61,725.83

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Solution

The fourth proportional to 110,115.71, 151,970.32 and 61,725.83 is: 85,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,115.71 : 151,970.32 = 61,725.83 : x
  2. Step 2: Convert to fraction form
    110,115.71/151,970.32 = 61,725.83/x
  3. Step 3: Cross multiply
    110,115.71x = 151,970.32 × 61,725.83
  4. Step 4: Simplify right side
    110,115.71x = 9,380,493,828.74
  5. Step 5: Solve for x
    x = 9,380,493,828.74/110,115.71
  6. Step 6: Final answer
    x = 85,187.61

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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.