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Finding the Fourth Proportional to 81,705.84, 112,797.06 and 54,988.80

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Solution

The fourth proportional to 81,705.84, 112,797.06 and 54,988.80 is: 75,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.84 : 112,797.06 = 54,988.80 : x
  2. Step 2: Convert to fraction form
    81,705.84/112,797.06 = 54,988.80/x
  3. Step 3: Cross multiply
    81,705.84x = 112,797.06 × 54,988.80
  4. Step 4: Simplify right side
    81,705.84x = 6,202,574,972.93
  5. Step 5: Solve for x
    x = 6,202,574,972.93/81,705.84
  6. Step 6: Final answer
    x = 75,913.48

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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.