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Finding the Fourth Proportional to 100,154.84, 138,215.30 and 54,832.03

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Solution

The fourth proportional to 100,154.84, 138,215.30 and 54,832.03 is: 75,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,154.84 : 138,215.30 = 54,832.03 : x
  2. Step 2: Convert to fraction form
    100,154.84/138,215.30 = 54,832.03/x
  3. Step 3: Cross multiply
    100,154.84x = 138,215.30 × 54,832.03
  4. Step 4: Simplify right side
    100,154.84x = 7,578,624,856.36
  5. Step 5: Solve for x
    x = 7,578,624,856.36/100,154.84
  6. Step 6: Final answer
    x = 75,669.09

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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.