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Finding the Fourth Proportional to 207,363.72, 311,034.60 and 102,147.14

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Solution

The fourth proportional to 207,363.72, 311,034.60 and 102,147.14 is: 153,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,363.72 : 311,034.60 = 102,147.14 : x
  2. Step 2: Convert to fraction form
    207,363.72/311,034.60 = 102,147.14/x
  3. Step 3: Cross multiply
    207,363.72x = 311,034.60 × 102,147.14
  4. Step 4: Simplify right side
    207,363.72x = 31,771,294,831.04
  5. Step 5: Solve for x
    x = 31,771,294,831.04/207,363.72
  6. Step 6: Final answer
    x = 153,215.30

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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.