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Finding the Fourth Proportional to 259,101.54, 388,565.52 and 99,140.28

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Solution

The fourth proportional to 259,101.54, 388,565.52 and 99,140.28 is: 148,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,101.54 : 388,565.52 = 99,140.28 : x
  2. Step 2: Convert to fraction form
    259,101.54/388,565.52 = 99,140.28/x
  3. Step 3: Cross multiply
    259,101.54x = 388,565.52 × 99,140.28
  4. Step 4: Simplify right side
    259,101.54x = 38,522,494,451.15
  5. Step 5: Solve for x
    x = 38,522,494,451.15/259,101.54
  6. Step 6: Final answer
    x = 148,677.21

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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.