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Finding the Fourth Proportional to 100,989.96, 151,488.78 and 37,803.42

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Solution

The fourth proportional to 100,989.96, 151,488.78 and 37,803.42 is: 56,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,989.96 : 151,488.78 = 37,803.42 : x
  2. Step 2: Convert to fraction form
    100,989.96/151,488.78 = 37,803.42/x
  3. Step 3: Cross multiply
    100,989.96x = 151,488.78 × 37,803.42
  4. Step 4: Simplify right side
    100,989.96x = 5,726,793,975.63
  5. Step 5: Solve for x
    x = 5,726,793,975.63/100,989.96
  6. Step 6: Final answer
    x = 56,706.57

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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.