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Finding the Fourth Proportional to 138,859.83, 191,626.19 and 75,197.61

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Solution

The fourth proportional to 138,859.83, 191,626.19 and 75,197.61 is: 103,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,859.83 : 191,626.19 = 75,197.61 : x
  2. Step 2: Convert to fraction form
    138,859.83/191,626.19 = 75,197.61/x
  3. Step 3: Cross multiply
    138,859.83x = 191,626.19 × 75,197.61
  4. Step 4: Simplify right side
    138,859.83x = 14,409,831,125.42
  5. Step 5: Solve for x
    x = 14,409,831,125.42/138,859.83
  6. Step 6: Final answer
    x = 103,772.50

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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.