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Finding the Fourth Proportional to 218,438.91, 301,363.41 and 127,765.89

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Solution

The fourth proportional to 218,438.91, 301,363.41 and 127,765.89 is: 176,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,438.91 : 301,363.41 = 127,765.89 : x
  2. Step 2: Convert to fraction form
    218,438.91/301,363.41 = 127,765.89/x
  3. Step 3: Cross multiply
    218,438.91x = 301,363.41 × 127,765.89
  4. Step 4: Simplify right side
    218,438.91x = 38,503,964,292.08
  5. Step 5: Solve for x
    x = 38,503,964,292.08/218,438.91
  6. Step 6: Final answer
    x = 176,268.80

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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.