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Finding the Fourth Proportional to 218,726.82, 301,841.64 and 123,264.18

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Solution

The fourth proportional to 218,726.82, 301,841.64 and 123,264.18 is: 170,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,726.82 : 301,841.64 = 123,264.18 : x
  2. Step 2: Convert to fraction form
    218,726.82/301,841.64 = 123,264.18/x
  3. Step 3: Cross multiply
    218,726.82x = 301,841.64 × 123,264.18
  4. Step 4: Simplify right side
    218,726.82x = 37,206,262,244.46
  5. Step 5: Solve for x
    x = 37,206,262,244.46/218,726.82
  6. Step 6: Final answer
    x = 170,103.80

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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.