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Finding the Fourth Proportional to 259,920, 358,690.68 and 140,688

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Solution

The fourth proportional to 259,920, 358,690.68 and 140,688 is: 194,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,920 : 358,690.68 = 140,688 : x
  2. Step 2: Convert to fraction form
    259,920/358,690.68 = 140,688/x
  3. Step 3: Cross multiply
    259,920x = 358,690.68 × 140,688
  4. Step 4: Simplify right side
    259,920x = 50,463,474,387.84
  5. Step 5: Solve for x
    x = 50,463,474,387.84/259,920
  6. Step 6: Final answer
    x = 194,150.02

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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.