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Finding the Fourth Proportional to 106,185, 146,535.28 and 58,438.32

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Solution

The fourth proportional to 106,185, 146,535.28 and 58,438.32 is: 80,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,185 : 146,535.28 = 58,438.32 : x
  2. Step 2: Convert to fraction form
    106,185/146,535.28 = 58,438.32/x
  3. Step 3: Cross multiply
    106,185x = 146,535.28 × 58,438.32
  4. Step 4: Simplify right side
    106,185x = 8,563,275,583.93
  5. Step 5: Solve for x
    x = 8,563,275,583.93/106,185
  6. Step 6: Final answer
    x = 80,644.87

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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.