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Finding the Fourth Proportional to 218,682.69, 301,780.80 and 123,220.14

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Solution

The fourth proportional to 218,682.69, 301,780.80 and 123,220.14 is: 170,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,682.69 : 301,780.80 = 123,220.14 : x
  2. Step 2: Convert to fraction form
    218,682.69/301,780.80 = 123,220.14/x
  3. Step 3: Cross multiply
    218,682.69x = 301,780.80 × 123,220.14
  4. Step 4: Simplify right side
    218,682.69x = 37,185,472,425.31
  5. Step 5: Solve for x
    x = 37,185,472,425.31/218,682.69
  6. Step 6: Final answer
    x = 170,043.05

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1.5x scale

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.