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Finding the Fourth Proportional to 100,416.76, 150,429.90 and 55,908.76

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Solution

The fourth proportional to 100,416.76, 150,429.90 and 55,908.76 is: 83,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416.76 : 150,429.90 = 55,908.76 : x
  2. Step 2: Convert to fraction form
    100,416.76/150,429.90 = 55,908.76/x
  3. Step 3: Cross multiply
    100,416.76x = 150,429.90 × 55,908.76
  4. Step 4: Simplify right side
    100,416.76x = 8,410,349,175.92
  5. Step 5: Solve for x
    x = 8,410,349,175.92/100,416.76
  6. Step 6: Final answer
    x = 83,754.44

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1.5x scale

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.