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Finding the Fourth Proportional to 100,228.62, 150,211.71 and 40,994.94

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Solution

The fourth proportional to 100,228.62, 150,211.71 and 40,994.94 is: 61,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228.62 : 150,211.71 = 40,994.94 : x
  2. Step 2: Convert to fraction form
    100,228.62/150,211.71 = 40,994.94/x
  3. Step 3: Cross multiply
    100,228.62x = 150,211.71 × 40,994.94
  4. Step 4: Simplify right side
    100,228.62x = 6,157,920,038.75
  5. Step 5: Solve for x
    x = 6,157,920,038.75/100,228.62
  6. Step 6: Final answer
    x = 61,438.74

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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.