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Finding the Fourth Proportional to 272,027.86, 408,111 and 159,803.02

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Solution

The fourth proportional to 272,027.86, 408,111 and 159,803.02 is: 239,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,027.86 : 408,111 = 159,803.02 : x
  2. Step 2: Convert to fraction form
    272,027.86/408,111 = 159,803.02/x
  3. Step 3: Cross multiply
    272,027.86x = 408,111 × 159,803.02
  4. Step 4: Simplify right side
    272,027.86x = 65,217,370,295.22
  5. Step 5: Solve for x
    x = 65,217,370,295.22/272,027.86
  6. Step 6: Final answer
    x = 239,745.19

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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.