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Finding the Fourth Proportional to 218,491.48, 301,506.78 and 122,995

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Solution

The fourth proportional to 218,491.48, 301,506.78 and 122,995 is: 169,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,491.48 : 301,506.78 = 122,995 : x
  2. Step 2: Convert to fraction form
    218,491.48/301,506.78 = 122,995/x
  3. Step 3: Cross multiply
    218,491.48x = 301,506.78 × 122,995
  4. Step 4: Simplify right side
    218,491.48x = 37,083,826,406.10
  5. Step 5: Solve for x
    x = 37,083,826,406.10/218,491.48
  6. Step 6: Final answer
    x = 169,726.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.