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Finding the Fourth Proportional to 259,297, 357,830.18 and 140,065

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Solution

The fourth proportional to 259,297, 357,830.18 and 140,065 is: 193,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,297 : 357,830.18 = 140,065 : x
  2. Step 2: Convert to fraction form
    259,297/357,830.18 = 140,065/x
  3. Step 3: Cross multiply
    259,297x = 357,830.18 × 140,065
  4. Step 4: Simplify right side
    259,297x = 50,119,484,161.70
  5. Step 5: Solve for x
    x = 50,119,484,161.70/259,297
  6. Step 6: Final answer
    x = 193,289.87

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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.