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Finding the Fourth Proportional to 101,238.53, 151,834.44 and 30,154.71

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Solution

The fourth proportional to 101,238.53, 151,834.44 and 30,154.71 is: 45,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,238.53 : 151,834.44 = 30,154.71 : x
  2. Step 2: Convert to fraction form
    101,238.53/151,834.44 = 30,154.71/x
  3. Step 3: Cross multiply
    101,238.53x = 151,834.44 × 30,154.71
  4. Step 4: Simplify right side
    101,238.53x = 4,578,523,506.21
  5. Step 5: Solve for x
    x = 4,578,523,506.21/101,238.53
  6. Step 6: Final answer
    x = 45,225.11

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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.