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Finding the Fourth Proportional to 218,451.19, 301,390.36 and 127,742.89

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Solution

The fourth proportional to 218,451.19, 301,390.36 and 127,742.89 is: 176,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,451.19 : 301,390.36 = 127,742.89 : x
  2. Step 2: Convert to fraction form
    218,451.19/301,390.36 = 127,742.89/x
  3. Step 3: Cross multiply
    218,451.19x = 301,390.36 × 127,742.89
  4. Step 4: Simplify right side
    218,451.19x = 38,500,475,604.54
  5. Step 5: Solve for x
    x = 38,500,475,604.54/218,451.19
  6. Step 6: Final answer
    x = 176,242.92

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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.