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Finding the Fourth Proportional to 259,239, 357,749.82 and 140,007

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Solution

The fourth proportional to 259,239, 357,749.82 and 140,007 is: 193,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,239 : 357,749.82 = 140,007 : x
  2. Step 2: Convert to fraction form
    259,239/357,749.82 = 140,007/x
  3. Step 3: Cross multiply
    259,239x = 357,749.82 × 140,007
  4. Step 4: Simplify right side
    259,239x = 50,087,479,048.74
  5. Step 5: Solve for x
    x = 50,087,479,048.74/259,239
  6. Step 6: Final answer
    x = 193,209.66

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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.