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Finding the Fourth Proportional to 84,116.72, 126,208.74 and 34,200.65

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Solution

The fourth proportional to 84,116.72, 126,208.74 and 34,200.65 is: 51,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,116.72 : 126,208.74 = 34,200.65 : x
  2. Step 2: Convert to fraction form
    84,116.72/126,208.74 = 34,200.65/x
  3. Step 3: Cross multiply
    84,116.72x = 126,208.74 × 34,200.65
  4. Step 4: Simplify right side
    84,116.72x = 4,316,420,943.68
  5. Step 5: Solve for x
    x = 4,316,420,943.68/84,116.72
  6. Step 6: Final answer
    x = 51,314.66

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1.5x scale

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.