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Finding the Fourth Proportional to 65,196.70, 97,795.05 and 31,938.10

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Solution

The fourth proportional to 65,196.70, 97,795.05 and 31,938.10 is: 47,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.70 : 97,795.05 = 31,938.10 : x
  2. Step 2: Convert to fraction form
    65,196.70/97,795.05 = 31,938.10/x
  3. Step 3: Cross multiply
    65,196.70x = 97,795.05 × 31,938.10
  4. Step 4: Simplify right side
    65,196.70x = 3,123,388,086.41
  5. Step 5: Solve for x
    x = 3,123,388,086.41/65,196.70
  6. Step 6: Final answer
    x = 47,907.15

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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.