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Finding the Fourth Proportional to 100,459.68, 138,633.78 and 55,136.52

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Solution

The fourth proportional to 100,459.68, 138,633.78 and 55,136.52 is: 76,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459.68 : 138,633.78 = 55,136.52 : x
  2. Step 2: Convert to fraction form
    100,459.68/138,633.78 = 55,136.52/x
  3. Step 3: Cross multiply
    100,459.68x = 138,633.78 × 55,136.52
  4. Step 4: Simplify right side
    100,459.68x = 7,643,784,183.65
  5. Step 5: Solve for x
    x = 7,643,784,183.65/100,459.68
  6. Step 6: Final answer
    x = 76,088.08

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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.