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Finding the Fourth Proportional to 84,721, 116,917.86 and 54,964.84

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Solution

The fourth proportional to 84,721, 116,917.86 and 54,964.84 is: 75,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,721 : 116,917.86 = 54,964.84 : x
  2. Step 2: Convert to fraction form
    84,721/116,917.86 = 54,964.84/x
  3. Step 3: Cross multiply
    84,721x = 116,917.86 × 54,964.84
  4. Step 4: Simplify right side
    84,721x = 6,426,371,468.04
  5. Step 5: Solve for x
    x = 6,426,371,468.04/84,721
  6. Step 6: Final answer
    x = 75,853.35

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1.5x scale

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.