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Finding the Fourth Proportional to 122,741.92, 169,147.92 and 87,352.48

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Solution

The fourth proportional to 122,741.92, 169,147.92 and 87,352.48 is: 120,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,741.92 : 169,147.92 = 87,352.48 : x
  2. Step 2: Convert to fraction form
    122,741.92/169,147.92 = 87,352.48/x
  3. Step 3: Cross multiply
    122,741.92x = 169,147.92 × 87,352.48
  4. Step 4: Simplify right side
    122,741.92x = 14,775,490,298.84
  5. Step 5: Solve for x
    x = 14,775,490,298.84/122,741.92
  6. Step 6: Final answer
    x = 120,378.52

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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.