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Finding the Fourth Proportional to 100,643.70, 150,869.55 and 37,446.90

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Solution

The fourth proportional to 100,643.70, 150,869.55 and 37,446.90 is: 56,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643.70 : 150,869.55 = 37,446.90 : x
  2. Step 2: Convert to fraction form
    100,643.70/150,869.55 = 37,446.90/x
  3. Step 3: Cross multiply
    100,643.70x = 150,869.55 × 37,446.90
  4. Step 4: Simplify right side
    100,643.70x = 5,649,596,951.90
  5. Step 5: Solve for x
    x = 5,649,596,951.90/100,643.70
  6. Step 6: Final answer
    x = 56,134.63

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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.