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Finding the Fourth Proportional to 138,602.94, 191,235.91 and 81,211.42

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Solution

The fourth proportional to 138,602.94, 191,235.91 and 81,211.42 is: 112,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602.94 : 191,235.91 = 81,211.42 : x
  2. Step 2: Convert to fraction form
    138,602.94/191,235.91 = 81,211.42/x
  3. Step 3: Cross multiply
    138,602.94x = 191,235.91 × 81,211.42
  4. Step 4: Simplify right side
    138,602.94x = 15,530,539,806.09
  5. Step 5: Solve for x
    x = 15,530,539,806.09/138,602.94
  6. Step 6: Final answer
    x = 112,050.58

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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.