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Finding the Fourth Proportional to 81,721.99, 122,468.10 and 65,007.91

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Solution

The fourth proportional to 81,721.99, 122,468.10 and 65,007.91 is: 97,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,721.99 : 122,468.10 = 65,007.91 : x
  2. Step 2: Convert to fraction form
    81,721.99/122,468.10 = 65,007.91/x
  3. Step 3: Cross multiply
    81,721.99x = 122,468.10 × 65,007.91
  4. Step 4: Simplify right side
    81,721.99x = 7,961,395,222.67
  5. Step 5: Solve for x
    x = 7,961,395,222.67/81,721.99
  6. Step 6: Final answer
    x = 97,420.48

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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.