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Finding the Fourth Proportional to 70,568.20, 97,385.22 and 38,740

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Solution

The fourth proportional to 70,568.20, 97,385.22 and 38,740 is: 53,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,568.20 : 97,385.22 = 38,740 : x
  2. Step 2: Convert to fraction form
    70,568.20/97,385.22 = 38,740/x
  3. Step 3: Cross multiply
    70,568.20x = 97,385.22 × 38,740
  4. Step 4: Simplify right side
    70,568.20x = 3,772,703,422.80
  5. Step 5: Solve for x
    x = 3,772,703,422.80/70,568.20
  6. Step 6: Final answer
    x = 53,461.81

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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.