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Finding the Fourth Proportional to 218,503.13, 301,533.99 and 123,040.58

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Solution

The fourth proportional to 218,503.13, 301,533.99 and 123,040.58 is: 169,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,503.13 : 301,533.99 = 123,040.58 : x
  2. Step 2: Convert to fraction form
    218,503.13/301,533.99 = 123,040.58/x
  3. Step 3: Cross multiply
    218,503.13x = 301,533.99 × 123,040.58
  4. Step 4: Simplify right side
    218,503.13x = 37,100,917,019.31
  5. Step 5: Solve for x
    x = 37,100,917,019.31/218,503.13
  6. Step 6: Final answer
    x = 169,795.81

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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.