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Finding the Fourth Proportional to 218,065.19, 327,141.72 and 77,820.17

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Solution

The fourth proportional to 218,065.19, 327,141.72 and 77,820.17 is: 116,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,065.19 : 327,141.72 = 77,820.17 : x
  2. Step 2: Convert to fraction form
    218,065.19/327,141.72 = 77,820.17/x
  3. Step 3: Cross multiply
    218,065.19x = 327,141.72 × 77,820.17
  4. Step 4: Simplify right side
    218,065.19x = 25,458,222,628.78
  5. Step 5: Solve for x
    x = 25,458,222,628.78/218,065.19
  6. Step 6: Final answer
    x = 116,745.93

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1.5x scale

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.