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Finding the Fourth Proportional to 101,648.34, 140,408.46 and 78,066.39

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Solution

The fourth proportional to 101,648.34, 140,408.46 and 78,066.39 is: 107,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,648.34 : 140,408.46 = 78,066.39 : x
  2. Step 2: Convert to fraction form
    101,648.34/140,408.46 = 78,066.39/x
  3. Step 3: Cross multiply
    101,648.34x = 140,408.46 × 78,066.39
  4. Step 4: Simplify right side
    101,648.34x = 10,961,181,597.66
  5. Step 5: Solve for x
    x = 10,961,181,597.66/101,648.34
  6. Step 6: Final answer
    x = 107,834.34

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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.