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Finding the Fourth Proportional to 218,406.51, 327,632.13 and 83,583.98

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Solution

The fourth proportional to 218,406.51, 327,632.13 and 83,583.98 is: 125,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,406.51 : 327,632.13 = 83,583.98 : x
  2. Step 2: Convert to fraction form
    218,406.51/327,632.13 = 83,583.98/x
  3. Step 3: Cross multiply
    218,406.51x = 327,632.13 × 83,583.98
  4. Step 4: Simplify right side
    218,406.51x = 27,384,798,834.67
  5. Step 5: Solve for x
    x = 27,384,798,834.67/218,406.51
  6. Step 6: Final answer
    x = 125,384.54

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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.