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Finding the Fourth Proportional to 137,230.07, 205,672.86 and 74,047.64

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Solution

The fourth proportional to 137,230.07, 205,672.86 and 74,047.64 is: 110,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,230.07 : 205,672.86 = 74,047.64 : x
  2. Step 2: Convert to fraction form
    137,230.07/205,672.86 = 74,047.64/x
  3. Step 3: Cross multiply
    137,230.07x = 205,672.86 × 74,047.64
  4. Step 4: Simplify right side
    137,230.07x = 15,229,588,866.69
  5. Step 5: Solve for x
    x = 15,229,588,866.69/137,230.07
  6. Step 6: Final answer
    x = 110,978.52

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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.