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Finding the Fourth Proportional to 141,152, 211,728 and 42,656

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Solution

The fourth proportional to 141,152, 211,728 and 42,656 is: 63,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,152 : 211,728 = 42,656 : x
  2. Step 2: Convert to fraction form
    141,152/211,728 = 42,656/x
  3. Step 3: Cross multiply
    141,152x = 211,728 × 42,656
  4. Step 4: Simplify right side
    141,152x = 9,031,469,568
  5. Step 5: Solve for x
    x = 9,031,469,568/141,152
  6. Step 6: Final answer
    x = 63,984

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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.