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Finding the Fourth Proportional to 259,281, 357,807.78 and 146,107.80

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Solution

The fourth proportional to 259,281, 357,807.78 and 146,107.80 is: 201,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,281 : 357,807.78 = 146,107.80 : x
  2. Step 2: Convert to fraction form
    259,281/357,807.78 = 146,107.80/x
  3. Step 3: Cross multiply
    259,281x = 357,807.78 × 146,107.80
  4. Step 4: Simplify right side
    259,281x = 52,278,507,558.68
  5. Step 5: Solve for x
    x = 52,278,507,558.68/259,281
  6. Step 6: Final answer
    x = 201,628.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.