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Finding the Fourth Proportional to 378,001.96, 567,113.68 and 111,769.40

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Solution

The fourth proportional to 378,001.96, 567,113.68 and 111,769.40 is: 167,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,001.96 : 567,113.68 = 111,769.40 : x
  2. Step 2: Convert to fraction form
    378,001.96/567,113.68 = 111,769.40/x
  3. Step 3: Cross multiply
    378,001.96x = 567,113.68 × 111,769.40
  4. Step 4: Simplify right side
    378,001.96x = 63,385,955,745.39
  5. Step 5: Solve for x
    x = 63,385,955,745.39/378,001.96
  6. Step 6: Final answer
    x = 167,686.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.