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Finding the Fourth Proportional to 100,558.40, 150,837.46 and 25,678.50

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Solution

The fourth proportional to 100,558.40, 150,837.46 and 25,678.50 is: 38,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,558.40 : 150,837.46 = 25,678.50 : x
  2. Step 2: Convert to fraction form
    100,558.40/150,837.46 = 25,678.50/x
  3. Step 3: Cross multiply
    100,558.40x = 150,837.46 × 25,678.50
  4. Step 4: Simplify right side
    100,558.40x = 3,873,279,748.71
  5. Step 5: Solve for x
    x = 3,873,279,748.71/100,558.40
  6. Step 6: Final answer
    x = 38,517.72

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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.