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Finding the Fourth Proportional to 56,115.84, 84,156 and 18,667.68

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Solution

The fourth proportional to 56,115.84, 84,156 and 18,667.68 is: 27,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,115.84 : 84,156 = 18,667.68 : x
  2. Step 2: Convert to fraction form
    56,115.84/84,156 = 18,667.68/x
  3. Step 3: Cross multiply
    56,115.84x = 84,156 × 18,667.68
  4. Step 4: Simplify right side
    56,115.84x = 1,570,997,278.08
  5. Step 5: Solve for x
    x = 1,570,997,278.08/56,115.84
  6. Step 6: Final answer
    x = 27,995.61

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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.