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Finding the Fourth Proportional to 140,091.30, 193,270.68 and 86,283

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Solution

The fourth proportional to 140,091.30, 193,270.68 and 86,283 is: 119,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,091.30 : 193,270.68 = 86,283 : x
  2. Step 2: Convert to fraction form
    140,091.30/193,270.68 = 86,283/x
  3. Step 3: Cross multiply
    140,091.30x = 193,270.68 × 86,283
  4. Step 4: Simplify right side
    140,091.30x = 16,675,974,082.44
  5. Step 5: Solve for x
    x = 16,675,974,082.44/140,091.30
  6. Step 6: Final answer
    x = 119,036.47

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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.