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Finding the Fourth Proportional to 259,270, 357,792.84 and 140,038

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Solution

The fourth proportional to 259,270, 357,792.84 and 140,038 is: 193,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,270 : 357,792.84 = 140,038 : x
  2. Step 2: Convert to fraction form
    259,270/357,792.84 = 140,038/x
  3. Step 3: Cross multiply
    259,270x = 357,792.84 × 140,038
  4. Step 4: Simplify right side
    259,270x = 50,104,593,727.92
  5. Step 5: Solve for x
    x = 50,104,593,727.92/259,270
  6. Step 6: Final answer
    x = 193,252.57

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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.