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Finding the Fourth Proportional to 141,174, 211,761 and 42,678

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Solution

The fourth proportional to 141,174, 211,761 and 42,678 is: 64,017

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,174 : 211,761 = 42,678 : x
  2. Step 2: Convert to fraction form
    141,174/211,761 = 42,678/x
  3. Step 3: Cross multiply
    141,174x = 211,761 × 42,678
  4. Step 4: Simplify right side
    141,174x = 9,037,535,958
  5. Step 5: Solve for x
    x = 9,037,535,958/141,174
  6. Step 6: Final answer
    x = 64,017

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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.