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Finding the Fourth Proportional to 71,772.20, 107,615.10 and 36,780.20

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Solution

The fourth proportional to 71,772.20, 107,615.10 and 36,780.20 is: 55,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772.20 : 107,615.10 = 36,780.20 : x
  2. Step 2: Convert to fraction form
    71,772.20/107,615.10 = 36,780.20/x
  3. Step 3: Cross multiply
    71,772.20x = 107,615.10 × 36,780.20
  4. Step 4: Simplify right side
    71,772.20x = 3,958,104,901.02
  5. Step 5: Solve for x
    x = 3,958,104,901.02/71,772.20
  6. Step 6: Final answer
    x = 55,148.16

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1.5x scale

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.