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Finding the Fourth Proportional to 138,603.67, 191,272.80 and 78,174.13

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Solution

The fourth proportional to 138,603.67, 191,272.80 and 78,174.13 is: 107,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,603.67 : 191,272.80 = 78,174.13 : x
  2. Step 2: Convert to fraction form
    138,603.67/191,272.80 = 78,174.13/x
  3. Step 3: Cross multiply
    138,603.67x = 191,272.80 × 78,174.13
  4. Step 4: Simplify right side
    138,603.67x = 14,952,584,732.66
  5. Step 5: Solve for x
    x = 14,952,584,732.66/138,603.67
  6. Step 6: Final answer
    x = 107,880.15

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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.