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Finding the Fourth Proportional to 259,291.28, 388,936.98 and 81,812.16

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Solution

The fourth proportional to 259,291.28, 388,936.98 and 81,812.16 is: 122,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,291.28 : 388,936.98 = 81,812.16 : x
  2. Step 2: Convert to fraction form
    259,291.28/388,936.98 = 81,812.16/x
  3. Step 3: Cross multiply
    259,291.28x = 388,936.98 × 81,812.16
  4. Step 4: Simplify right side
    259,291.28x = 31,819,774,437.68
  5. Step 5: Solve for x
    x = 31,819,774,437.68/259,291.28
  6. Step 6: Final answer
    x = 122,718.26

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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.