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Finding the Fourth Proportional to 100,169.93, 138,234.53 and 54,847.94

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Solution

The fourth proportional to 100,169.93, 138,234.53 and 54,847.94 is: 75,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,169.93 : 138,234.53 = 54,847.94 : x
  2. Step 2: Convert to fraction form
    100,169.93/138,234.53 = 54,847.94/x
  3. Step 3: Cross multiply
    100,169.93x = 138,234.53 × 54,847.94
  4. Step 4: Simplify right side
    100,169.93x = 7,581,878,653.32
  5. Step 5: Solve for x
    x = 7,581,878,653.32/100,169.93
  6. Step 6: Final answer
    x = 75,690.16

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1.5x scale

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.