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Finding the Fourth Proportional to 100,384.56, 138,523.16 and 55,055.28

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Solution

The fourth proportional to 100,384.56, 138,523.16 and 55,055.28 is: 75,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,384.56 : 138,523.16 = 55,055.28 : x
  2. Step 2: Convert to fraction form
    100,384.56/138,523.16 = 55,055.28/x
  3. Step 3: Cross multiply
    100,384.56x = 138,523.16 × 55,055.28
  4. Step 4: Simplify right side
    100,384.56x = 7,626,431,360.28
  5. Step 5: Solve for x
    x = 7,626,431,360.28/100,384.56
  6. Step 6: Final answer
    x = 75,972.16

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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.