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Finding the Fourth Proportional to 77,297.67, 116,542.38 and 76,817.88

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Solution

The fourth proportional to 77,297.67, 116,542.38 and 76,817.88 is: 115,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,297.67 : 116,542.38 = 76,817.88 : x
  2. Step 2: Convert to fraction form
    77,297.67/116,542.38 = 76,817.88/x
  3. Step 3: Cross multiply
    77,297.67x = 116,542.38 × 76,817.88
  4. Step 4: Simplify right side
    77,297.67x = 8,952,538,561.75
  5. Step 5: Solve for x
    x = 8,952,538,561.75/77,297.67
  6. Step 6: Final answer
    x = 115,819.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.