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Finding the Fourth Proportional to 100,590.88, 138,816.40 and 55,268.14

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Solution

The fourth proportional to 100,590.88, 138,816.40 and 55,268.14 is: 76,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,590.88 : 138,816.40 = 55,268.14 : x
  2. Step 2: Convert to fraction form
    100,590.88/138,816.40 = 55,268.14/x
  3. Step 3: Cross multiply
    100,590.88x = 138,816.40 × 55,268.14
  4. Step 4: Simplify right side
    100,590.88x = 7,672,124,229.50
  5. Step 5: Solve for x
    x = 7,672,124,229.50/100,590.88
  6. Step 6: Final answer
    x = 76,270.57

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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.