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Finding the Fourth Proportional to 77,649.92, 107,224.10 and 73,664.08

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Solution

The fourth proportional to 77,649.92, 107,224.10 and 73,664.08 is: 101,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,649.92 : 107,224.10 = 73,664.08 : x
  2. Step 2: Convert to fraction form
    77,649.92/107,224.10 = 73,664.08/x
  3. Step 3: Cross multiply
    77,649.92x = 107,224.10 × 73,664.08
  4. Step 4: Simplify right side
    77,649.92x = 7,898,564,680.33
  5. Step 5: Solve for x
    x = 7,898,564,680.33/77,649.92
  6. Step 6: Final answer
    x = 101,720.19

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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.