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Finding the Fourth Proportional to 70,709.04, 97,578.84 and 38,880

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Solution

The fourth proportional to 70,709.04, 97,578.84 and 38,880 is: 53,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,709.04 : 97,578.84 = 38,880 : x
  2. Step 2: Convert to fraction form
    70,709.04/97,578.84 = 38,880/x
  3. Step 3: Cross multiply
    70,709.04x = 97,578.84 × 38,880
  4. Step 4: Simplify right side
    70,709.04x = 3,793,865,299.20
  5. Step 5: Solve for x
    x = 3,793,865,299.20/70,709.04
  6. Step 6: Final answer
    x = 53,654.60

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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.