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Finding the Fourth Proportional to 218,509.61, 301,548.92 and 123,019.74

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Solution

The fourth proportional to 218,509.61, 301,548.92 and 123,019.74 is: 169,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,509.61 : 301,548.92 = 123,019.74 : x
  2. Step 2: Convert to fraction form
    218,509.61/301,548.92 = 123,019.74/x
  3. Step 3: Cross multiply
    218,509.61x = 301,548.92 × 123,019.74
  4. Step 4: Simplify right side
    218,509.61x = 37,096,469,120.58
  5. Step 5: Solve for x
    x = 37,096,469,120.58/218,509.61
  6. Step 6: Final answer
    x = 169,770.43

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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.