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Finding the Fourth Proportional to 69,102.72, 103,652.64 and 19,854.72

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Solution

The fourth proportional to 69,102.72, 103,652.64 and 19,854.72 is: 29,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102.72 : 103,652.64 = 19,854.72 : x
  2. Step 2: Convert to fraction form
    69,102.72/103,652.64 = 19,854.72/x
  3. Step 3: Cross multiply
    69,102.72x = 103,652.64 × 19,854.72
  4. Step 4: Simplify right side
    69,102.72x = 2,057,994,144.46
  5. Step 5: Solve for x
    x = 2,057,994,144.46/69,102.72
  6. Step 6: Final answer
    x = 29,781.67

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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.