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Finding the Fourth Proportional to 100,044.91, 138,042.87 and 57,023.58

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Solution

The fourth proportional to 100,044.91, 138,042.87 and 57,023.58 is: 78,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,044.91 : 138,042.87 = 57,023.58 : x
  2. Step 2: Convert to fraction form
    100,044.91/138,042.87 = 57,023.58/x
  3. Step 3: Cross multiply
    100,044.91x = 138,042.87 × 57,023.58
  4. Step 4: Simplify right side
    100,044.91x = 7,871,698,640.87
  5. Step 5: Solve for x
    x = 7,871,698,640.87/100,044.91
  6. Step 6: Final answer
    x = 78,681.65

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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.