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Finding the Fourth Proportional to 65,379.96, 97,946.21 and 38,645.91

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Solution

The fourth proportional to 65,379.96, 97,946.21 and 38,645.91 is: 57,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,379.96 : 97,946.21 = 38,645.91 : x
  2. Step 2: Convert to fraction form
    65,379.96/97,946.21 = 38,645.91/x
  3. Step 3: Cross multiply
    65,379.96x = 97,946.21 × 38,645.91
  4. Step 4: Simplify right side
    65,379.96x = 3,785,220,513.12
  5. Step 5: Solve for x
    x = 3,785,220,513.12/65,379.96
  6. Step 6: Final answer
    x = 57,895.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.