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Finding the Fourth Proportional to 140,821.50, 211,232.25 and 47,327.25

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Solution

The fourth proportional to 140,821.50, 211,232.25 and 47,327.25 is: 70,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,821.50 : 211,232.25 = 47,327.25 : x
  2. Step 2: Convert to fraction form
    140,821.50/211,232.25 = 47,327.25/x
  3. Step 3: Cross multiply
    140,821.50x = 211,232.25 × 47,327.25
  4. Step 4: Simplify right side
    140,821.50x = 9,997,041,503.81
  5. Step 5: Solve for x
    x = 9,997,041,503.81/140,821.50
  6. Step 6: Final answer
    x = 70,990.88

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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.