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Finding the Fourth Proportional to 273,803.50, 410,705.25 and 86,815

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Solution

The fourth proportional to 273,803.50, 410,705.25 and 86,815 is: 130,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,803.50 : 410,705.25 = 86,815 : x
  2. Step 2: Convert to fraction form
    273,803.50/410,705.25 = 86,815/x
  3. Step 3: Cross multiply
    273,803.50x = 410,705.25 × 86,815
  4. Step 4: Simplify right side
    273,803.50x = 35,655,376,278.75
  5. Step 5: Solve for x
    x = 35,655,376,278.75/273,803.50
  6. Step 6: Final answer
    x = 130,222.50

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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.