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Finding the Fourth Proportional to 259,882, 358,637.36 and 140,650

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Solution

The fourth proportional to 259,882, 358,637.36 and 140,650 is: 194,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,882 : 358,637.36 = 140,650 : x
  2. Step 2: Convert to fraction form
    259,882/358,637.36 = 140,650/x
  3. Step 3: Cross multiply
    259,882x = 358,637.36 × 140,650
  4. Step 4: Simplify right side
    259,882x = 50,442,344,684
  5. Step 5: Solve for x
    x = 50,442,344,684/259,882
  6. Step 6: Final answer
    x = 194,097.11

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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.