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Finding the Fourth Proportional to 100,033.63, 138,044.66 and 54,710.62

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Solution

The fourth proportional to 100,033.63, 138,044.66 and 54,710.62 is: 75,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033.63 : 138,044.66 = 54,710.62 : x
  2. Step 2: Convert to fraction form
    100,033.63/138,044.66 = 54,710.62/x
  3. Step 3: Cross multiply
    100,033.63x = 138,044.66 × 54,710.62
  4. Step 4: Simplify right side
    100,033.63x = 7,552,508,968.90
  5. Step 5: Solve for x
    x = 7,552,508,968.90/100,033.63
  6. Step 6: Final answer
    x = 75,499.70

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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.