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Finding the Fourth Proportional to 208,832.99, 312,539.31 and 128,921.22

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Solution

The fourth proportional to 208,832.99, 312,539.31 and 128,921.22 is: 192,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,832.99 : 312,539.31 = 128,921.22 : x
  2. Step 2: Convert to fraction form
    208,832.99/312,539.31 = 128,921.22/x
  3. Step 3: Cross multiply
    208,832.99x = 312,539.31 × 128,921.22
  4. Step 4: Simplify right side
    208,832.99x = 40,292,949,143.16
  5. Step 5: Solve for x
    x = 40,292,949,143.16/208,832.99
  6. Step 6: Final answer
    x = 192,943.41

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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.