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Finding the Fourth Proportional to 90,327.64, 124,651.74 and 52,087

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Solution

The fourth proportional to 90,327.64, 124,651.74 and 52,087 is: 71,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,327.64 : 124,651.74 = 52,087 : x
  2. Step 2: Convert to fraction form
    90,327.64/124,651.74 = 52,087/x
  3. Step 3: Cross multiply
    90,327.64x = 124,651.74 × 52,087
  4. Step 4: Simplify right side
    90,327.64x = 6,492,735,181.38
  5. Step 5: Solve for x
    x = 6,492,735,181.38/90,327.64
  6. Step 6: Final answer
    x = 71,879.83

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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.