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Finding the Fourth Proportional to 261,323.26, 391,947.99 and 83,807.21

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Solution

The fourth proportional to 261,323.26, 391,947.99 and 83,807.21 is: 125,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,323.26 : 391,947.99 = 83,807.21 : x
  2. Step 2: Convert to fraction form
    261,323.26/391,947.99 = 83,807.21/x
  3. Step 3: Cross multiply
    261,323.26x = 391,947.99 × 83,807.21
  4. Step 4: Simplify right side
    261,323.26x = 32,848,066,203.60
  5. Step 5: Solve for x
    x = 32,848,066,203.60/261,323.26
  6. Step 6: Final answer
    x = 125,698.97

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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.