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Finding the Fourth Proportional to 138,109.76, 190,569.14 and 77,676.80

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Solution

The fourth proportional to 138,109.76, 190,569.14 and 77,676.80 is: 107,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,109.76 : 190,569.14 = 77,676.80 : x
  2. Step 2: Convert to fraction form
    138,109.76/190,569.14 = 77,676.80/x
  3. Step 3: Cross multiply
    138,109.76x = 190,569.14 × 77,676.80
  4. Step 4: Simplify right side
    138,109.76x = 14,802,800,973.95
  5. Step 5: Solve for x
    x = 14,802,800,973.95/138,109.76
  6. Step 6: Final answer
    x = 107,181.43

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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.