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Finding the Fourth Proportional to 138,885.94, 191,661.70 and 78,476.14

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Solution

The fourth proportional to 138,885.94, 191,661.70 and 78,476.14 is: 108,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,885.94 : 191,661.70 = 78,476.14 : x
  2. Step 2: Convert to fraction form
    138,885.94/191,661.70 = 78,476.14/x
  3. Step 3: Cross multiply
    138,885.94x = 191,661.70 × 78,476.14
  4. Step 4: Simplify right side
    138,885.94x = 15,040,869,051.15
  5. Step 5: Solve for x
    x = 15,040,869,051.15/138,885.94
  6. Step 6: Final answer
    x = 108,296.56

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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.