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Finding the Fourth Proportional to 107,906.30, 161,859.45 and 107,215.10

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Solution

The fourth proportional to 107,906.30, 161,859.45 and 107,215.10 is: 160,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,906.30 : 161,859.45 = 107,215.10 : x
  2. Step 2: Convert to fraction form
    107,906.30/161,859.45 = 107,215.10/x
  3. Step 3: Cross multiply
    107,906.30x = 161,859.45 × 107,215.10
  4. Step 4: Simplify right side
    107,906.30x = 17,353,777,117.70
  5. Step 5: Solve for x
    x = 17,353,777,117.70/107,906.30
  6. Step 6: Final answer
    x = 160,822.65

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1.5x scale

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.