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Finding the Fourth Proportional to 57,960, 79,984.80 and 32,809.50

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Solution

The fourth proportional to 57,960, 79,984.80 and 32,809.50 is: 45,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,960 : 79,984.80 = 32,809.50 : x
  2. Step 2: Convert to fraction form
    57,960/79,984.80 = 32,809.50/x
  3. Step 3: Cross multiply
    57,960x = 79,984.80 × 32,809.50
  4. Step 4: Simplify right side
    57,960x = 2,624,261,295.60
  5. Step 5: Solve for x
    x = 2,624,261,295.60/57,960
  6. Step 6: Final answer
    x = 45,277.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.