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Finding the Fourth Proportional to 84,042.10, 115,978.11 and 45,801.65

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Solution

The fourth proportional to 84,042.10, 115,978.11 and 45,801.65 is: 63,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,042.10 : 115,978.11 = 45,801.65 : x
  2. Step 2: Convert to fraction form
    84,042.10/115,978.11 = 45,801.65/x
  3. Step 3: Cross multiply
    84,042.10x = 115,978.11 × 45,801.65
  4. Step 4: Simplify right side
    84,042.10x = 5,311,989,091.83
  5. Step 5: Solve for x
    x = 5,311,989,091.83/84,042.10
  6. Step 6: Final answer
    x = 63,206.29

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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.