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Finding the Fourth Proportional to 129,809, 179,136.43 and 70,193

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Solution

The fourth proportional to 129,809, 179,136.43 and 70,193 is: 96,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,809 : 179,136.43 = 70,193 : x
  2. Step 2: Convert to fraction form
    129,809/179,136.43 = 70,193/x
  3. Step 3: Cross multiply
    129,809x = 179,136.43 × 70,193
  4. Step 4: Simplify right side
    129,809x = 12,574,123,430.99
  5. Step 5: Solve for x
    x = 12,574,123,430.99/129,809
  6. Step 6: Final answer
    x = 96,866.35

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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.