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Finding the Fourth Proportional to 121,011.68, 166,901.64 and 82,794

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Solution

The fourth proportional to 121,011.68, 166,901.64 and 82,794 is: 114,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,011.68 : 166,901.64 = 82,794 : x
  2. Step 2: Convert to fraction form
    121,011.68/166,901.64 = 82,794/x
  3. Step 3: Cross multiply
    121,011.68x = 166,901.64 × 82,794
  4. Step 4: Simplify right side
    121,011.68x = 13,818,454,382.16
  5. Step 5: Solve for x
    x = 13,818,454,382.16/121,011.68
  6. Step 6: Final answer
    x = 114,191.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.