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Finding the Fourth Proportional to 102,647.70, 153,975.86 and 50,101.38

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Solution

The fourth proportional to 102,647.70, 153,975.86 and 50,101.38 is: 75,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.70 : 153,975.86 = 50,101.38 : x
  2. Step 2: Convert to fraction form
    102,647.70/153,975.86 = 50,101.38/x
  3. Step 3: Cross multiply
    102,647.70x = 153,975.86 × 50,101.38
  4. Step 4: Simplify right side
    102,647.70x = 7,714,403,072.69
  5. Step 5: Solve for x
    x = 7,714,403,072.69/102,647.70
  6. Step 6: Final answer
    x = 75,154.17

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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.