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Finding the Fourth Proportional to 146,999.80, 220,208.10 and 87,659.20

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Solution

The fourth proportional to 146,999.80, 220,208.10 and 87,659.20 is: 131,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,999.80 : 220,208.10 = 87,659.20 : x
  2. Step 2: Convert to fraction form
    146,999.80/220,208.10 = 87,659.20/x
  3. Step 3: Cross multiply
    146,999.80x = 220,208.10 × 87,659.20
  4. Step 4: Simplify right side
    146,999.80x = 19,303,265,879.52
  5. Step 5: Solve for x
    x = 19,303,265,879.52/146,999.80
  6. Step 6: Final answer
    x = 131,314.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.