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Finding the Fourth Proportional to 100,529.20, 150,664.20 and 77,039.20

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Solution

The fourth proportional to 100,529.20, 150,664.20 and 77,039.20 is: 115,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,529.20 : 150,664.20 = 77,039.20 : x
  2. Step 2: Convert to fraction form
    100,529.20/150,664.20 = 77,039.20/x
  3. Step 3: Cross multiply
    100,529.20x = 150,664.20 × 77,039.20
  4. Step 4: Simplify right side
    100,529.20x = 11,607,049,436.64
  5. Step 5: Solve for x
    x = 11,607,049,436.64/100,529.20
  6. Step 6: Final answer
    x = 115,459.48

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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.