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Finding the Fourth Proportional to 100,033.84, 138,044.78 and 54,709.48

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Solution

The fourth proportional to 100,033.84, 138,044.78 and 54,709.48 is: 75,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033.84 : 138,044.78 = 54,709.48 : x
  2. Step 2: Convert to fraction form
    100,033.84/138,044.78 = 54,709.48/x
  3. Step 3: Cross multiply
    100,033.84x = 138,044.78 × 54,709.48
  4. Step 4: Simplify right side
    100,033.84x = 7,552,358,130.51
  5. Step 5: Solve for x
    x = 7,552,358,130.51/100,033.84
  6. Step 6: Final answer
    x = 75,498.03

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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.