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Finding the Fourth Proportional to 172,293.61, 258,440.42 and 78,733.75

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Solution

The fourth proportional to 172,293.61, 258,440.42 and 78,733.75 is: 118,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,293.61 : 258,440.42 = 78,733.75 : x
  2. Step 2: Convert to fraction form
    172,293.61/258,440.42 = 78,733.75/x
  3. Step 3: Cross multiply
    172,293.61x = 258,440.42 × 78,733.75
  4. Step 4: Simplify right side
    172,293.61x = 20,347,983,418.18
  5. Step 5: Solve for x
    x = 20,347,983,418.18/172,293.61
  6. Step 6: Final answer
    x = 118,100.63

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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.