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Finding the Fourth Proportional to 138,772.76, 191,502.56 and 77,517.32

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Solution

The fourth proportional to 138,772.76, 191,502.56 and 77,517.32 is: 106,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,772.76 : 191,502.56 = 77,517.32 : x
  2. Step 2: Convert to fraction form
    138,772.76/191,502.56 = 77,517.32/x
  3. Step 3: Cross multiply
    138,772.76x = 191,502.56 × 77,517.32
  4. Step 4: Simplify right side
    138,772.76x = 14,844,763,879.24
  5. Step 5: Solve for x
    x = 14,844,763,879.24/138,772.76
  6. Step 6: Final answer
    x = 106,971.75

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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.