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Finding the Fourth Proportional to 259,400.88, 388,831.56 and 109,516.08

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Solution

The fourth proportional to 259,400.88, 388,831.56 and 109,516.08 is: 164,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,400.88 : 388,831.56 = 109,516.08 : x
  2. Step 2: Convert to fraction form
    259,400.88/388,831.56 = 109,516.08/x
  3. Step 3: Cross multiply
    259,400.88x = 388,831.56 × 109,516.08
  4. Step 4: Simplify right side
    259,400.88x = 42,583,308,231.48
  5. Step 5: Solve for x
    x = 42,583,308,231.48/259,400.88
  6. Step 6: Final answer
    x = 164,160.23

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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.