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Finding the Fourth Proportional to 140,319.78, 193,583.95 and 103,613.95

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Solution

The fourth proportional to 140,319.78, 193,583.95 and 103,613.95 is: 142,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,319.78 : 193,583.95 = 103,613.95 : x
  2. Step 2: Convert to fraction form
    140,319.78/193,583.95 = 103,613.95/x
  3. Step 3: Cross multiply
    140,319.78x = 193,583.95 × 103,613.95
  4. Step 4: Simplify right side
    140,319.78x = 20,057,997,716.10
  5. Step 5: Solve for x
    x = 20,057,997,716.10/140,319.78
  6. Step 6: Final answer
    x = 142,944.91

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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.