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Finding the Fourth Proportional to 115,410, 173,115 and 27,858

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Solution

The fourth proportional to 115,410, 173,115 and 27,858 is: 41,787

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,410 : 173,115 = 27,858 : x
  2. Step 2: Convert to fraction form
    115,410/173,115 = 27,858/x
  3. Step 3: Cross multiply
    115,410x = 173,115 × 27,858
  4. Step 4: Simplify right side
    115,410x = 4,822,637,670
  5. Step 5: Solve for x
    x = 4,822,637,670/115,410
  6. Step 6: Final answer
    x = 41,787

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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.