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Finding the Fourth Proportional to 79,778, 119,667 and 21,410

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Solution

The fourth proportional to 79,778, 119,667 and 21,410 is: 32,115

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,778 : 119,667 = 21,410 : x
  2. Step 2: Convert to fraction form
    79,778/119,667 = 21,410/x
  3. Step 3: Cross multiply
    79,778x = 119,667 × 21,410
  4. Step 4: Simplify right side
    79,778x = 2,562,070,470
  5. Step 5: Solve for x
    x = 2,562,070,470/79,778
  6. Step 6: Final answer
    x = 32,115

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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.