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Finding the Fourth Proportional to 83,792.21, 125,648.70 and 30,447

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Solution

The fourth proportional to 83,792.21, 125,648.70 and 30,447 is: 45,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,792.21 : 125,648.70 = 30,447 : x
  2. Step 2: Convert to fraction form
    83,792.21/125,648.70 = 30,447/x
  3. Step 3: Cross multiply
    83,792.21x = 125,648.70 × 30,447
  4. Step 4: Simplify right side
    83,792.21x = 3,825,625,968.90
  5. Step 5: Solve for x
    x = 3,825,625,968.90/83,792.21
  6. Step 6: Final answer
    x = 45,656.11

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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.