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Finding the Fourth Proportional to 100,393.41, 138,542.96 and 55,681.41

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Solution

The fourth proportional to 100,393.41, 138,542.96 and 55,681.41 is: 76,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,393.41 : 138,542.96 = 55,681.41 : x
  2. Step 2: Convert to fraction form
    100,393.41/138,542.96 = 55,681.41/x
  3. Step 3: Cross multiply
    100,393.41x = 138,542.96 × 55,681.41
  4. Step 4: Simplify right side
    100,393.41x = 7,714,267,079.97
  5. Step 5: Solve for x
    x = 7,714,267,079.97/100,393.41
  6. Step 6: Final answer
    x = 76,840.37

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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.