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Finding the Fourth Proportional to 65,295.30, 97,938.84 and 38,980.22

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Solution

The fourth proportional to 65,295.30, 97,938.84 and 38,980.22 is: 58,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,295.30 : 97,938.84 = 38,980.22 : x
  2. Step 2: Convert to fraction form
    65,295.30/97,938.84 = 38,980.22/x
  3. Step 3: Cross multiply
    65,295.30x = 97,938.84 × 38,980.22
  4. Step 4: Simplify right side
    65,295.30x = 3,817,677,040.05
  5. Step 5: Solve for x
    x = 3,817,677,040.05/65,295.30
  6. Step 6: Final answer
    x = 58,467.87

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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.