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Finding the Fourth Proportional to 138,603.14, 191,270.13 and 78,173.90

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Solution

The fourth proportional to 138,603.14, 191,270.13 and 78,173.90 is: 107,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,603.14 : 191,270.13 = 78,173.90 : x
  2. Step 2: Convert to fraction form
    138,603.14/191,270.13 = 78,173.90/x
  3. Step 3: Cross multiply
    138,603.14x = 191,270.13 × 78,173.90
  4. Step 4: Simplify right side
    138,603.14x = 14,952,332,015.61
  5. Step 5: Solve for x
    x = 14,952,332,015.61/138,603.14
  6. Step 6: Final answer
    x = 107,878.74

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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.