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Finding the Fourth Proportional to 84,169.64, 126,134.14 and 61,807.60

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Solution

The fourth proportional to 84,169.64, 126,134.14 and 61,807.60 is: 92,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169.64 : 126,134.14 = 61,807.60 : x
  2. Step 2: Convert to fraction form
    84,169.64/126,134.14 = 61,807.60/x
  3. Step 3: Cross multiply
    84,169.64x = 126,134.14 × 61,807.60
  4. Step 4: Simplify right side
    84,169.64x = 7,796,048,471.46
  5. Step 5: Solve for x
    x = 7,796,048,471.46/84,169.64
  6. Step 6: Final answer
    x = 92,623.05

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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.