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Finding the Fourth Proportional to 138,904.88, 191,696.90 and 78,474.02

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Solution

The fourth proportional to 138,904.88, 191,696.90 and 78,474.02 is: 108,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,904.88 : 191,696.90 = 78,474.02 : x
  2. Step 2: Convert to fraction form
    138,904.88/191,696.90 = 78,474.02/x
  3. Step 3: Cross multiply
    138,904.88x = 191,696.90 × 78,474.02
  4. Step 4: Simplify right side
    138,904.88x = 15,043,225,013.68
  5. Step 5: Solve for x
    x = 15,043,225,013.68/138,904.88
  6. Step 6: Final answer
    x = 108,298.75

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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.