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Finding the Fourth Proportional to 138,703.13, 191,420.44 and 78,279.06

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Solution

The fourth proportional to 138,703.13, 191,420.44 and 78,279.06 is: 108,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,703.13 : 191,420.44 = 78,279.06 : x
  2. Step 2: Convert to fraction form
    138,703.13/191,420.44 = 78,279.06/x
  3. Step 3: Cross multiply
    138,703.13x = 191,420.44 × 78,279.06
  4. Step 4: Simplify right side
    138,703.13x = 14,984,211,773.54
  5. Step 5: Solve for x
    x = 14,984,211,773.54/138,703.13
  6. Step 6: Final answer
    x = 108,030.81

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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.