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Finding the Fourth Proportional to 259,542, 358,168.32 and 140,310

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Solution

The fourth proportional to 259,542, 358,168.32 and 140,310 is: 193,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,542 : 358,168.32 = 140,310 : x
  2. Step 2: Convert to fraction form
    259,542/358,168.32 = 140,310/x
  3. Step 3: Cross multiply
    259,542x = 358,168.32 × 140,310
  4. Step 4: Simplify right side
    259,542x = 50,254,596,979.20
  5. Step 5: Solve for x
    x = 50,254,596,979.20/259,542
  6. Step 6: Final answer
    x = 193,627.99

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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.