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Finding the Fourth Proportional to 109,490.89, 164,408.19 and 65,314.66

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Solution

The fourth proportional to 109,490.89, 164,408.19 and 65,314.66 is: 98,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,490.89 : 164,408.19 = 65,314.66 : x
  2. Step 2: Convert to fraction form
    109,490.89/164,408.19 = 65,314.66/x
  3. Step 3: Cross multiply
    109,490.89x = 164,408.19 × 65,314.66
  4. Step 4: Simplify right side
    109,490.89x = 10,738,265,031.07
  5. Step 5: Solve for x
    x = 10,738,265,031.07/109,490.89
  6. Step 6: Final answer
    x = 98,074.51

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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.