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Finding the Fourth Proportional to 226,509.78, 312,589.50 and 124,539.50

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Solution

The fourth proportional to 226,509.78, 312,589.50 and 124,539.50 is: 171,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,509.78 : 312,589.50 = 124,539.50 : x
  2. Step 2: Convert to fraction form
    226,509.78/312,589.50 = 124,539.50/x
  3. Step 3: Cross multiply
    226,509.78x = 312,589.50 × 124,539.50
  4. Step 4: Simplify right side
    226,509.78x = 38,929,740,035.25
  5. Step 5: Solve for x
    x = 38,929,740,035.25/226,509.78
  6. Step 6: Final answer
    x = 171,867.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.