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Finding the Fourth Proportional to 149,879.12, 206,841.04 and 86,226.48

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Solution

The fourth proportional to 149,879.12, 206,841.04 and 86,226.48 is: 118,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,879.12 : 206,841.04 = 86,226.48 : x
  2. Step 2: Convert to fraction form
    149,879.12/206,841.04 = 86,226.48/x
  3. Step 3: Cross multiply
    149,879.12x = 206,841.04 × 86,226.48
  4. Step 4: Simplify right side
    149,879.12x = 17,835,174,798.74
  5. Step 5: Solve for x
    x = 17,835,174,798.74/149,879.12
  6. Step 6: Final answer
    x = 118,997.06

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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.