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Finding the Fourth Proportional to 64,783.76, 96,956.16 and 39,839.60

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Solution

The fourth proportional to 64,783.76, 96,956.16 and 39,839.60 is: 59,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,783.76 : 96,956.16 = 39,839.60 : x
  2. Step 2: Convert to fraction form
    64,783.76/96,956.16 = 39,839.60/x
  3. Step 3: Cross multiply
    64,783.76x = 96,956.16 × 39,839.60
  4. Step 4: Simplify right side
    64,783.76x = 3,862,694,631.94
  5. Step 5: Solve for x
    x = 3,862,694,631.94/64,783.76
  6. Step 6: Final answer
    x = 59,624.43

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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.