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Finding the Fourth Proportional to 100,587.98, 150,914.74 and 47,990.66

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Solution

The fourth proportional to 100,587.98, 150,914.74 and 47,990.66 is: 72,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,587.98 : 150,914.74 = 47,990.66 : x
  2. Step 2: Convert to fraction form
    100,587.98/150,914.74 = 47,990.66/x
  3. Step 3: Cross multiply
    100,587.98x = 150,914.74 × 47,990.66
  4. Step 4: Simplify right side
    100,587.98x = 7,242,497,976.33
  5. Step 5: Solve for x
    x = 7,242,497,976.33/100,587.98
  6. Step 6: Final answer
    x = 72,001.62

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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.