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Finding the Fourth Proportional to 84,210.72, 126,269.64 and 34,278

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Solution

The fourth proportional to 84,210.72, 126,269.64 and 34,278 is: 51,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,210.72 : 126,269.64 = 34,278 : x
  2. Step 2: Convert to fraction form
    84,210.72/126,269.64 = 34,278/x
  3. Step 3: Cross multiply
    84,210.72x = 126,269.64 × 34,278
  4. Step 4: Simplify right side
    84,210.72x = 4,328,270,719.92
  5. Step 5: Solve for x
    x = 4,328,270,719.92/84,210.72
  6. Step 6: Final answer
    x = 51,398.10

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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.