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Finding the Fourth Proportional to 259,295.68, 388,787.96 and 101,336

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Solution

The fourth proportional to 259,295.68, 388,787.96 and 101,336 is: 151,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,295.68 : 388,787.96 = 101,336 : x
  2. Step 2: Convert to fraction form
    259,295.68/388,787.96 = 101,336/x
  3. Step 3: Cross multiply
    259,295.68x = 388,787.96 × 101,336
  4. Step 4: Simplify right side
    259,295.68x = 39,398,216,714.56
  5. Step 5: Solve for x
    x = 39,398,216,714.56/259,295.68
  6. Step 6: Final answer
    x = 151,943.21

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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.