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Finding the Fourth Proportional to 100,169.16, 138,233.44 and 55,457.16

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Solution

The fourth proportional to 100,169.16, 138,233.44 and 55,457.16 is: 76,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,169.16 : 138,233.44 = 55,457.16 : x
  2. Step 2: Convert to fraction form
    100,169.16/138,233.44 = 55,457.16/x
  3. Step 3: Cross multiply
    100,169.16x = 138,233.44 × 55,457.16
  4. Step 4: Simplify right side
    100,169.16x = 7,666,033,238.43
  5. Step 5: Solve for x
    x = 7,666,033,238.43/100,169.16
  6. Step 6: Final answer
    x = 76,530.88

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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.