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Finding the Fourth Proportional to 70,820.96, 97,731.02 and 38,990.09

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Solution

The fourth proportional to 70,820.96, 97,731.02 and 38,990.09 is: 53,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,820.96 : 97,731.02 = 38,990.09 : x
  2. Step 2: Convert to fraction form
    70,820.96/97,731.02 = 38,990.09/x
  3. Step 3: Cross multiply
    70,820.96x = 97,731.02 × 38,990.09
  4. Step 4: Simplify right side
    70,820.96x = 3,810,541,607.39
  5. Step 5: Solve for x
    x = 3,810,541,607.39/70,820.96
  6. Step 6: Final answer
    x = 53,805.28

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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.