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Finding the Fourth Proportional to 119,352.98, 164,703.82 and 65,638

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Solution

The fourth proportional to 119,352.98, 164,703.82 and 65,638 is: 90,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,352.98 : 164,703.82 = 65,638 : x
  2. Step 2: Convert to fraction form
    119,352.98/164,703.82 = 65,638/x
  3. Step 3: Cross multiply
    119,352.98x = 164,703.82 × 65,638
  4. Step 4: Simplify right side
    119,352.98x = 10,810,829,337.16
  5. Step 5: Solve for x
    x = 10,810,829,337.16/119,352.98
  6. Step 6: Final answer
    x = 90,578.63

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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.