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Finding the Fourth Proportional to 100,838.96, 151,223.16 and 29,742.72

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Solution

The fourth proportional to 100,838.96, 151,223.16 and 29,742.72 is: 44,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.96 : 151,223.16 = 29,742.72 : x
  2. Step 2: Convert to fraction form
    100,838.96/151,223.16 = 29,742.72/x
  3. Step 3: Cross multiply
    100,838.96x = 151,223.16 × 29,742.72
  4. Step 4: Simplify right side
    100,838.96x = 4,497,788,105.40
  5. Step 5: Solve for x
    x = 4,497,788,105.40/100,838.96
  6. Step 6: Final answer
    x = 44,603.67

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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.