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Finding the Fourth Proportional to 140,496.78, 193,885.47 and 76,834.60

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Solution

The fourth proportional to 140,496.78, 193,885.47 and 76,834.60 is: 106,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,496.78 : 193,885.47 = 76,834.60 : x
  2. Step 2: Convert to fraction form
    140,496.78/193,885.47 = 76,834.60/x
  3. Step 3: Cross multiply
    140,496.78x = 193,885.47 × 76,834.60
  4. Step 4: Simplify right side
    140,496.78x = 14,897,112,533.26
  5. Step 5: Solve for x
    x = 14,897,112,533.26/140,496.78
  6. Step 6: Final answer
    x = 106,031.70

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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.