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Finding the Fourth Proportional to 100,486, 138,671.22 and 62,782.12

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Solution

The fourth proportional to 100,486, 138,671.22 and 62,782.12 is: 86,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,486 : 138,671.22 = 62,782.12 : x
  2. Step 2: Convert to fraction form
    100,486/138,671.22 = 62,782.12/x
  3. Step 3: Cross multiply
    100,486x = 138,671.22 × 62,782.12
  4. Step 4: Simplify right side
    100,486x = 8,706,073,174.59
  5. Step 5: Solve for x
    x = 8,706,073,174.59/100,486
  6. Step 6: Final answer
    x = 86,639.66

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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.