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Finding the Fourth Proportional to 70,379, 97,123.14 and 38,113.96

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Solution

The fourth proportional to 70,379, 97,123.14 and 38,113.96 is: 52,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,379 : 97,123.14 = 38,113.96 : x
  2. Step 2: Convert to fraction form
    70,379/97,123.14 = 38,113.96/x
  3. Step 3: Cross multiply
    70,379x = 97,123.14 × 38,113.96
  4. Step 4: Simplify right side
    70,379x = 3,701,747,473.03
  5. Step 5: Solve for x
    x = 3,701,747,473.03/70,379
  6. Step 6: Final answer
    x = 52,597.33

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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.