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Finding the Fourth Proportional to 218,917.69, 328,389.53 and 61,146.16

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Solution

The fourth proportional to 218,917.69, 328,389.53 and 61,146.16 is: 91,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,917.69 : 328,389.53 = 61,146.16 : x
  2. Step 2: Convert to fraction form
    218,917.69/328,389.53 = 61,146.16/x
  3. Step 3: Cross multiply
    218,917.69x = 328,389.53 × 61,146.16
  4. Step 4: Simplify right side
    218,917.69x = 20,079,757,617.00
  5. Step 5: Solve for x
    x = 20,079,757,617.00/218,917.69
  6. Step 6: Final answer
    x = 91,722.87

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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.