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Finding the Fourth Proportional to 70,823.30, 97,741.67 and 38,997.89

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Solution

The fourth proportional to 70,823.30, 97,741.67 and 38,997.89 is: 53,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,823.30 : 97,741.67 = 38,997.89 : x
  2. Step 2: Convert to fraction form
    70,823.30/97,741.67 = 38,997.89/x
  3. Step 3: Cross multiply
    70,823.30x = 97,741.67 × 38,997.89
  4. Step 4: Simplify right side
    70,823.30x = 3,811,718,211.38
  5. Step 5: Solve for x
    x = 3,811,718,211.38/70,823.30
  6. Step 6: Final answer
    x = 53,820.12

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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.