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Finding the Fourth Proportional to 218,641.04, 301,726.32 and 123,138.80

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Solution

The fourth proportional to 218,641.04, 301,726.32 and 123,138.80 is: 169,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,641.04 : 301,726.32 = 123,138.80 : x
  2. Step 2: Convert to fraction form
    218,641.04/301,726.32 = 123,138.80/x
  3. Step 3: Cross multiply
    218,641.04x = 301,726.32 × 123,138.80
  4. Step 4: Simplify right side
    218,641.04x = 37,154,216,973.22
  5. Step 5: Solve for x
    x = 37,154,216,973.22/218,641.04
  6. Step 6: Final answer
    x = 169,932.49

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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.