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Finding the Fourth Proportional to 77,996.48, 107,627.96 and 47,768

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Solution

The fourth proportional to 77,996.48, 107,627.96 and 47,768 is: 65,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,996.48 : 107,627.96 = 47,768 : x
  2. Step 2: Convert to fraction form
    77,996.48/107,627.96 = 47,768/x
  3. Step 3: Cross multiply
    77,996.48x = 107,627.96 × 47,768
  4. Step 4: Simplify right side
    77,996.48x = 5,141,172,393.28
  5. Step 5: Solve for x
    x = 5,141,172,393.28/77,996.48
  6. Step 6: Final answer
    x = 65,915.44

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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.