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Finding the Fourth Proportional to 218,754, 301,847.72 and 123,258.65

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Solution

The fourth proportional to 218,754, 301,847.72 and 123,258.65 is: 170,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,754 : 301,847.72 = 123,258.65 : x
  2. Step 2: Convert to fraction form
    218,754/301,847.72 = 123,258.65/x
  3. Step 3: Cross multiply
    218,754x = 301,847.72 × 123,258.65
  4. Step 4: Simplify right side
    218,754x = 37,205,340,347.25
  5. Step 5: Solve for x
    x = 37,205,340,347.25/218,754
  6. Step 6: Final answer
    x = 170,078.45

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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.