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Finding the Fourth Proportional to 100,656.53, 138,908.69 and 54,719.26

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Solution

The fourth proportional to 100,656.53, 138,908.69 and 54,719.26 is: 75,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,656.53 : 138,908.69 = 54,719.26 : x
  2. Step 2: Convert to fraction form
    100,656.53/138,908.69 = 54,719.26/x
  3. Step 3: Cross multiply
    100,656.53x = 138,908.69 × 54,719.26
  4. Step 4: Simplify right side
    100,656.53x = 7,600,980,450.77
  5. Step 5: Solve for x
    x = 7,600,980,450.77/100,656.53
  6. Step 6: Final answer
    x = 75,514.03

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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.