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Finding the Fourth Proportional to 141,937.86, 212,919.09 and 52,005

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Solution

The fourth proportional to 141,937.86, 212,919.09 and 52,005 is: 78,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,937.86 : 212,919.09 = 52,005 : x
  2. Step 2: Convert to fraction form
    141,937.86/212,919.09 = 52,005/x
  3. Step 3: Cross multiply
    141,937.86x = 212,919.09 × 52,005
  4. Step 4: Simplify right side
    141,937.86x = 11,072,857,275.45
  5. Step 5: Solve for x
    x = 11,072,857,275.45/141,937.86
  6. Step 6: Final answer
    x = 78,012.01

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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.