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Finding the Fourth Proportional to 148,815, 205,378.47 and 81,759.96

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Solution

The fourth proportional to 148,815, 205,378.47 and 81,759.96 is: 112,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,815 : 205,378.47 = 81,759.96 : x
  2. Step 2: Convert to fraction form
    148,815/205,378.47 = 81,759.96/x
  3. Step 3: Cross multiply
    148,815x = 205,378.47 × 81,759.96
  4. Step 4: Simplify right side
    148,815x = 16,791,735,492.06
  5. Step 5: Solve for x
    x = 16,791,735,492.06/148,815
  6. Step 6: Final answer
    x = 112,836.31

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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.