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Finding the Fourth Proportional to 154,249.92, 212,830.56 and 93,852

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Solution

The fourth proportional to 154,249.92, 212,830.56 and 93,852 is: 129,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,249.92 : 212,830.56 = 93,852 : x
  2. Step 2: Convert to fraction form
    154,249.92/212,830.56 = 93,852/x
  3. Step 3: Cross multiply
    154,249.92x = 212,830.56 × 93,852
  4. Step 4: Simplify right side
    154,249.92x = 19,974,573,717.12
  5. Step 5: Solve for x
    x = 19,974,573,717.12/154,249.92
  6. Step 6: Final answer
    x = 129,494.87

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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.