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Finding the Fourth Proportional to 140,379.78, 193,395.69 and 97,862.34

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Solution

The fourth proportional to 140,379.78, 193,395.69 and 97,862.34 is: 134,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,379.78 : 193,395.69 = 97,862.34 : x
  2. Step 2: Convert to fraction form
    140,379.78/193,395.69 = 97,862.34/x
  3. Step 3: Cross multiply
    140,379.78x = 193,395.69 × 97,862.34
  4. Step 4: Simplify right side
    140,379.78x = 18,926,154,769.31
  5. Step 5: Solve for x
    x = 18,926,154,769.31/140,379.78
  6. Step 6: Final answer
    x = 134,821.09

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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.