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Finding the Fourth Proportional to 146,804.32, 202,583.16 and 83,142.58

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Solution

The fourth proportional to 146,804.32, 202,583.16 and 83,142.58 is: 114,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,804.32 : 202,583.16 = 83,142.58 : x
  2. Step 2: Convert to fraction form
    146,804.32/202,583.16 = 83,142.58/x
  3. Step 3: Cross multiply
    146,804.32x = 202,583.16 × 83,142.58
  4. Step 4: Simplify right side
    146,804.32x = 16,843,286,586.95
  5. Step 5: Solve for x
    x = 16,843,286,586.95/146,804.32
  6. Step 6: Final answer
    x = 114,732.91

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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.