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Finding the Fourth Proportional to 138,640.86, 191,310 and 102,361.59

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Solution

The fourth proportional to 138,640.86, 191,310 and 102,361.59 is: 141,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640.86 : 191,310 = 102,361.59 : x
  2. Step 2: Convert to fraction form
    138,640.86/191,310 = 102,361.59/x
  3. Step 3: Cross multiply
    138,640.86x = 191,310 × 102,361.59
  4. Step 4: Simplify right side
    138,640.86x = 19,582,795,782.90
  5. Step 5: Solve for x
    x = 19,582,795,782.90/138,640.86
  6. Step 6: Final answer
    x = 141,248.37

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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.