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Finding the Fourth Proportional to 261,316.80, 391,977.36 and 83,825.28

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Solution

The fourth proportional to 261,316.80, 391,977.36 and 83,825.28 is: 125,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,316.80 : 391,977.36 = 83,825.28 : x
  2. Step 2: Convert to fraction form
    261,316.80/391,977.36 = 83,825.28/x
  3. Step 3: Cross multiply
    261,316.80x = 391,977.36 × 83,825.28
  4. Step 4: Simplify right side
    261,316.80x = 32,857,611,955.66
  5. Step 5: Solve for x
    x = 32,857,611,955.66/261,316.80
  6. Step 6: Final answer
    x = 125,738.61

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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.