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Finding the Fourth Proportional to 140,837, 194,355.06 and 81,221

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Solution

The fourth proportional to 140,837, 194,355.06 and 81,221 is: 112,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,837 : 194,355.06 = 81,221 : x
  2. Step 2: Convert to fraction form
    140,837/194,355.06 = 81,221/x
  3. Step 3: Cross multiply
    140,837x = 194,355.06 × 81,221
  4. Step 4: Simplify right side
    140,837x = 15,785,712,328.26
  5. Step 5: Solve for x
    x = 15,785,712,328.26/140,837
  6. Step 6: Final answer
    x = 112,084.98

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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.