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Finding the Fourth Proportional to 100,984.56, 139,342.24 and 58,534.80

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Solution

The fourth proportional to 100,984.56, 139,342.24 and 58,534.80 is: 80,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,984.56 : 139,342.24 = 58,534.80 : x
  2. Step 2: Convert to fraction form
    100,984.56/139,342.24 = 58,534.80/x
  3. Step 3: Cross multiply
    100,984.56x = 139,342.24 × 58,534.80
  4. Step 4: Simplify right side
    100,984.56x = 8,156,370,149.95
  5. Step 5: Solve for x
    x = 8,156,370,149.95/100,984.56
  6. Step 6: Final answer
    x = 80,768.49

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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.