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Finding the Fourth Proportional to 138,102.76, 190,566.26 and 77,672.12

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Solution

The fourth proportional to 138,102.76, 190,566.26 and 77,672.12 is: 107,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,102.76 : 190,566.26 = 77,672.12 : x
  2. Step 2: Convert to fraction form
    138,102.76/190,566.26 = 77,672.12/x
  3. Step 3: Cross multiply
    138,102.76x = 190,566.26 × 77,672.12
  4. Step 4: Simplify right side
    138,102.76x = 14,801,685,414.67
  5. Step 5: Solve for x
    x = 14,801,685,414.67/138,102.76
  6. Step 6: Final answer
    x = 107,178.78

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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.