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Finding the Fourth Proportional to 64,809.20, 97,213.80 and 36,815.60

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Solution

The fourth proportional to 64,809.20, 97,213.80 and 36,815.60 is: 55,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,809.20 : 97,213.80 = 36,815.60 : x
  2. Step 2: Convert to fraction form
    64,809.20/97,213.80 = 36,815.60/x
  3. Step 3: Cross multiply
    64,809.20x = 97,213.80 × 36,815.60
  4. Step 4: Simplify right side
    64,809.20x = 3,578,984,375.28
  5. Step 5: Solve for x
    x = 3,578,984,375.28/64,809.20
  6. Step 6: Final answer
    x = 55,223.40

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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.