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Finding the Fourth Proportional to 100,648.48, 151,013.72 and 50,742.96

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Solution

The fourth proportional to 100,648.48, 151,013.72 and 50,742.96 is: 76,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,648.48 : 151,013.72 = 50,742.96 : x
  2. Step 2: Convert to fraction form
    100,648.48/151,013.72 = 50,742.96/x
  3. Step 3: Cross multiply
    100,648.48x = 151,013.72 × 50,742.96
  4. Step 4: Simplify right side
    100,648.48x = 7,662,883,153.41
  5. Step 5: Solve for x
    x = 7,662,883,153.41/100,648.48
  6. Step 6: Final answer
    x = 76,135.11

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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.