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Finding the Fourth Proportional to 65,242.05, 97,877.65 and 20,871.46

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Solution

The fourth proportional to 65,242.05, 97,877.65 and 20,871.46 is: 31,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.05 : 97,877.65 = 20,871.46 : x
  2. Step 2: Convert to fraction form
    65,242.05/97,877.65 = 20,871.46/x
  3. Step 3: Cross multiply
    65,242.05x = 97,877.65 × 20,871.46
  4. Step 4: Simplify right side
    65,242.05x = 2,042,849,456.87
  5. Step 5: Solve for x
    x = 2,042,849,456.87/65,242.05
  6. Step 6: Final answer
    x = 31,311.85

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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.