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Finding the Fourth Proportional to 100,989.76, 151,488.50 and 37,803.24

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Solution

The fourth proportional to 100,989.76, 151,488.50 and 37,803.24 is: 56,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,989.76 : 151,488.50 = 37,803.24 : x
  2. Step 2: Convert to fraction form
    100,989.76/151,488.50 = 37,803.24/x
  3. Step 3: Cross multiply
    100,989.76x = 151,488.50 × 37,803.24
  4. Step 4: Simplify right side
    100,989.76x = 5,726,756,122.74
  5. Step 5: Solve for x
    x = 5,726,756,122.74/100,989.76
  6. Step 6: Final answer
    x = 56,706.30

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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.