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Finding the Fourth Proportional to 140,380.50, 210,510.81 and 81,256.98

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Solution

The fourth proportional to 140,380.50, 210,510.81 and 81,256.98 is: 121,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,380.50 : 210,510.81 = 81,256.98 : x
  2. Step 2: Convert to fraction form
    140,380.50/210,510.81 = 81,256.98/x
  3. Step 3: Cross multiply
    140,380.50x = 210,510.81 × 81,256.98
  4. Step 4: Simplify right side
    140,380.50x = 17,105,472,677.95
  5. Step 5: Solve for x
    x = 17,105,472,677.95/140,380.50
  6. Step 6: Final answer
    x = 121,850.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.