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Finding the Fourth Proportional to 152,991.75, 229,408.74 and 68,679.66

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Solution

The fourth proportional to 152,991.75, 229,408.74 and 68,679.66 is: 102,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,991.75 : 229,408.74 = 68,679.66 : x
  2. Step 2: Convert to fraction form
    152,991.75/229,408.74 = 68,679.66/x
  3. Step 3: Cross multiply
    152,991.75x = 229,408.74 × 68,679.66
  4. Step 4: Simplify right side
    152,991.75x = 15,755,714,264.23
  5. Step 5: Solve for x
    x = 15,755,714,264.23/152,991.75
  6. Step 6: Final answer
    x = 102,984.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.