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Finding the Fourth Proportional to 101,099.78, 151,673 and 30,020.82

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Solution

The fourth proportional to 101,099.78, 151,673 and 30,020.82 is: 45,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,099.78 : 151,673 = 30,020.82 : x
  2. Step 2: Convert to fraction form
    101,099.78/151,673 = 30,020.82/x
  3. Step 3: Cross multiply
    101,099.78x = 151,673 × 30,020.82
  4. Step 4: Simplify right side
    101,099.78x = 4,553,347,831.86
  5. Step 5: Solve for x
    x = 4,553,347,831.86/101,099.78
  6. Step 6: Final answer
    x = 45,038.16

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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.