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Finding the Fourth Proportional to 259,537, 358,161.54 and 140,305

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Solution

The fourth proportional to 259,537, 358,161.54 and 140,305 is: 193,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,537 : 358,161.54 = 140,305 : x
  2. Step 2: Convert to fraction form
    259,537/358,161.54 = 140,305/x
  3. Step 3: Cross multiply
    259,537x = 358,161.54 × 140,305
  4. Step 4: Simplify right side
    259,537x = 50,251,854,869.70
  5. Step 5: Solve for x
    x = 50,251,854,869.70/259,537
  6. Step 6: Final answer
    x = 193,621.16

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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.