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Finding the Fourth Proportional to 148,989.32, 205,605.26 and 81,921.32

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Solution

The fourth proportional to 148,989.32, 205,605.26 and 81,921.32 is: 113,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,989.32 : 205,605.26 = 81,921.32 : x
  2. Step 2: Convert to fraction form
    148,989.32/205,605.26 = 81,921.32/x
  3. Step 3: Cross multiply
    148,989.32x = 205,605.26 × 81,921.32
  4. Step 4: Simplify right side
    148,989.32x = 16,843,454,298.14
  5. Step 5: Solve for x
    x = 16,843,454,298.14/148,989.32
  6. Step 6: Final answer
    x = 113,051.42

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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.