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Finding the Fourth Proportional to 275,378.51, 412,974.20 and 95,421.93

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Solution

The fourth proportional to 275,378.51, 412,974.20 and 95,421.93 is: 143,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,378.51 : 412,974.20 = 95,421.93 : x
  2. Step 2: Convert to fraction form
    275,378.51/412,974.20 = 95,421.93/x
  3. Step 3: Cross multiply
    275,378.51x = 412,974.20 × 95,421.93
  4. Step 4: Simplify right side
    275,378.51x = 39,406,794,727.10
  5. Step 5: Solve for x
    x = 39,406,794,727.10/275,378.51
  6. Step 6: Final answer
    x = 143,100.47

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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.