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Finding the Fourth Proportional to 100,278.72, 150,315.84 and 55,924.80

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Solution

The fourth proportional to 100,278.72, 150,315.84 and 55,924.80 is: 83,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,278.72 : 150,315.84 = 55,924.80 : x
  2. Step 2: Convert to fraction form
    100,278.72/150,315.84 = 55,924.80/x
  3. Step 3: Cross multiply
    100,278.72x = 150,315.84 × 55,924.80
  4. Step 4: Simplify right side
    100,278.72x = 8,406,383,288.83
  5. Step 5: Solve for x
    x = 8,406,383,288.83/100,278.72
  6. Step 6: Final answer
    x = 83,830.18

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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.