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Finding the Fourth Proportional to 269,907.72, 372,472.73 and 149,057.20

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Solution

The fourth proportional to 269,907.72, 372,472.73 and 149,057.20 is: 205,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,907.72 : 372,472.73 = 149,057.20 : x
  2. Step 2: Convert to fraction form
    269,907.72/372,472.73 = 149,057.20/x
  3. Step 3: Cross multiply
    269,907.72x = 372,472.73 × 149,057.20
  4. Step 4: Simplify right side
    269,907.72x = 55,519,742,210.16
  5. Step 5: Solve for x
    x = 55,519,742,210.16/269,907.72
  6. Step 6: Final answer
    x = 205,698.98

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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.