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Finding the Fourth Proportional to 158,408.98, 218,593.02 and 86,777.44

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Solution

The fourth proportional to 158,408.98, 218,593.02 and 86,777.44 is: 119,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,408.98 : 218,593.02 = 86,777.44 : x
  2. Step 2: Convert to fraction form
    158,408.98/218,593.02 = 86,777.44/x
  3. Step 3: Cross multiply
    158,408.98x = 218,593.02 × 86,777.44
  4. Step 4: Simplify right side
    158,408.98x = 18,968,942,677.47
  5. Step 5: Solve for x
    x = 18,968,942,677.47/158,408.98
  6. Step 6: Final answer
    x = 119,746.64

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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.