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Finding the Fourth Proportional to 81,705.60, 112,775.04 and 49,896

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Solution

The fourth proportional to 81,705.60, 112,775.04 and 49,896 is: 68,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.60 : 112,775.04 = 49,896 : x
  2. Step 2: Convert to fraction form
    81,705.60/112,775.04 = 49,896/x
  3. Step 3: Cross multiply
    81,705.60x = 112,775.04 × 49,896
  4. Step 4: Simplify right side
    81,705.60x = 5,627,023,395.84
  5. Step 5: Solve for x
    x = 5,627,023,395.84/81,705.60
  6. Step 6: Final answer
    x = 68,869.49

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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.