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Finding the Fourth Proportional to 100,223.67, 138,303.71 and 54,901.81

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Solution

The fourth proportional to 100,223.67, 138,303.71 and 54,901.81 is: 75,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,223.67 : 138,303.71 = 54,901.81 : x
  2. Step 2: Convert to fraction form
    100,223.67/138,303.71 = 54,901.81/x
  3. Step 3: Cross multiply
    100,223.67x = 138,303.71 × 54,901.81
  4. Step 4: Simplify right side
    100,223.67x = 7,593,123,489.42
  5. Step 5: Solve for x
    x = 7,593,123,489.42/100,223.67
  6. Step 6: Final answer
    x = 75,761.78

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1.5x scale

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.