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Finding the Fourth Proportional to 75,289, 112,935.84 and 27,915.88

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Solution

The fourth proportional to 75,289, 112,935.84 and 27,915.88 is: 41,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,289 : 112,935.84 = 27,915.88 : x
  2. Step 2: Convert to fraction form
    75,289/112,935.84 = 27,915.88/x
  3. Step 3: Cross multiply
    75,289x = 112,935.84 × 27,915.88
  4. Step 4: Simplify right side
    75,289x = 3,152,703,357.14
  5. Step 5: Solve for x
    x = 3,152,703,357.14/75,289
  6. Step 6: Final answer
    x = 41,874.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.