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Finding the Fourth Proportional to 140,497.68, 193,884.12 and 76,835.28

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Solution

The fourth proportional to 140,497.68, 193,884.12 and 76,835.28 is: 106,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,497.68 : 193,884.12 = 76,835.28 : x
  2. Step 2: Convert to fraction form
    140,497.68/193,884.12 = 76,835.28/x
  3. Step 3: Cross multiply
    140,497.68x = 193,884.12 × 76,835.28
  4. Step 4: Simplify right side
    140,497.68x = 14,897,140,647.75
  5. Step 5: Solve for x
    x = 14,897,140,647.75/140,497.68
  6. Step 6: Final answer
    x = 106,031.22

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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.