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Finding the Fourth Proportional to 77,008.70, 115,417.68 and 43,627.58

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Solution

The fourth proportional to 77,008.70, 115,417.68 and 43,627.58 is: 65,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,008.70 : 115,417.68 = 43,627.58 : x
  2. Step 2: Convert to fraction form
    77,008.70/115,417.68 = 43,627.58/x
  3. Step 3: Cross multiply
    77,008.70x = 115,417.68 × 43,627.58
  4. Step 4: Simplify right side
    77,008.70x = 5,035,394,067.61
  5. Step 5: Solve for x
    x = 5,035,394,067.61/77,008.70
  6. Step 6: Final answer
    x = 65,387.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.