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Finding the Fourth Proportional to 65,165.40, 97,748.10 and 20,791.80

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Solution

The fourth proportional to 65,165.40, 97,748.10 and 20,791.80 is: 31,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.40 : 97,748.10 = 20,791.80 : x
  2. Step 2: Convert to fraction form
    65,165.40/97,748.10 = 20,791.80/x
  3. Step 3: Cross multiply
    65,165.40x = 97,748.10 × 20,791.80
  4. Step 4: Simplify right side
    65,165.40x = 2,032,358,945.58
  5. Step 5: Solve for x
    x = 2,032,358,945.58/65,165.40
  6. Step 6: Final answer
    x = 31,187.70

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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.