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Finding the Fourth Proportional to 140,222, 193,305.40 and 86,470.94

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Solution

The fourth proportional to 140,222, 193,305.40 and 86,470.94 is: 119,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,222 : 193,305.40 = 86,470.94 : x
  2. Step 2: Convert to fraction form
    140,222/193,305.40 = 86,470.94/x
  3. Step 3: Cross multiply
    140,222x = 193,305.40 × 86,470.94
  4. Step 4: Simplify right side
    140,222x = 16,715,299,645.08
  5. Step 5: Solve for x
    x = 16,715,299,645.08/140,222
  6. Step 6: Final answer
    x = 119,205.97

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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.