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Finding the Fourth Proportional to 141,311, 211,967 and 42,815

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Solution

The fourth proportional to 141,311, 211,967 and 42,815 is: 64,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,311 : 211,967 = 42,815 : x
  2. Step 2: Convert to fraction form
    141,311/211,967 = 42,815/x
  3. Step 3: Cross multiply
    141,311x = 211,967 × 42,815
  4. Step 4: Simplify right side
    141,311x = 9,075,367,105
  5. Step 5: Solve for x
    x = 9,075,367,105/141,311
  6. Step 6: Final answer
    x = 64,222.65

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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.