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Finding the Fourth Proportional to 100,112.93, 138,153.98 and 54,789.99

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Solution

The fourth proportional to 100,112.93, 138,153.98 and 54,789.99 is: 75,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,112.93 : 138,153.98 = 54,789.99 : x
  2. Step 2: Convert to fraction form
    100,112.93/138,153.98 = 54,789.99/x
  3. Step 3: Cross multiply
    100,112.93x = 138,153.98 × 54,789.99
  4. Step 4: Simplify right side
    100,112.93x = 7,569,455,270.48
  5. Step 5: Solve for x
    x = 7,569,455,270.48/100,112.93
  6. Step 6: Final answer
    x = 75,609.17

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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.