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Finding the Fourth Proportional to 102,009.80, 140,750.46 and 61,722.56

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Solution

The fourth proportional to 102,009.80, 140,750.46 and 61,722.56 is: 85,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,009.80 : 140,750.46 = 61,722.56 : x
  2. Step 2: Convert to fraction form
    102,009.80/140,750.46 = 61,722.56/x
  3. Step 3: Cross multiply
    102,009.80x = 140,750.46 × 61,722.56
  4. Step 4: Simplify right side
    102,009.80x = 8,687,478,712.38
  5. Step 5: Solve for x
    x = 8,687,478,712.38/102,009.80
  6. Step 6: Final answer
    x = 85,163.18

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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.