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Finding the Fourth Proportional to 100,099.65, 138,137.51 and 54,777.65

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Solution

The fourth proportional to 100,099.65, 138,137.51 and 54,777.65 is: 75,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,099.65 : 138,137.51 = 54,777.65 : x
  2. Step 2: Convert to fraction form
    100,099.65/138,137.51 = 54,777.65/x
  3. Step 3: Cross multiply
    100,099.65x = 138,137.51 × 54,777.65
  4. Step 4: Simplify right side
    100,099.65x = 7,566,847,210.08
  5. Step 5: Solve for x
    x = 7,566,847,210.08/100,099.65
  6. Step 6: Final answer
    x = 75,593.14

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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.