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Finding the Fourth Proportional to 120,017.48, 165,623.69 and 69,027.80

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Solution

The fourth proportional to 120,017.48, 165,623.69 and 69,027.80 is: 95,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,017.48 : 165,623.69 = 69,027.80 : x
  2. Step 2: Convert to fraction form
    120,017.48/165,623.69 = 69,027.80/x
  3. Step 3: Cross multiply
    120,017.48x = 165,623.69 × 69,027.80
  4. Step 4: Simplify right side
    120,017.48x = 11,432,639,535.21
  5. Step 5: Solve for x
    x = 11,432,639,535.21/120,017.48
  6. Step 6: Final answer
    x = 95,258.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.