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Finding the Fourth Proportional to 106,377.54, 146,800.44 and 57,979.32

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Solution

The fourth proportional to 106,377.54, 146,800.44 and 57,979.32 is: 80,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,377.54 : 146,800.44 = 57,979.32 : x
  2. Step 2: Convert to fraction form
    106,377.54/146,800.44 = 57,979.32/x
  3. Step 3: Cross multiply
    106,377.54x = 146,800.44 × 57,979.32
  4. Step 4: Simplify right side
    106,377.54x = 8,511,389,686.90
  5. Step 5: Solve for x
    x = 8,511,389,686.90/106,377.54
  6. Step 6: Final answer
    x = 80,011.15

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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.