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Finding the Fourth Proportional to 148,836, 205,393.76 and 81,772.32

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Solution

The fourth proportional to 148,836, 205,393.76 and 81,772.32 is: 112,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,836 : 205,393.76 = 81,772.32 : x
  2. Step 2: Convert to fraction form
    148,836/205,393.76 = 81,772.32/x
  3. Step 3: Cross multiply
    148,836x = 205,393.76 × 81,772.32
  4. Step 4: Simplify right side
    148,836x = 16,795,524,268.72
  5. Step 5: Solve for x
    x = 16,795,524,268.72/148,836
  6. Step 6: Final answer
    x = 112,845.85

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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.