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Finding the Fourth Proportional to 99,424.65, 149,136.98 and 81,857.57

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Solution

The fourth proportional to 99,424.65, 149,136.98 and 81,857.57 is: 122,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,424.65 : 149,136.98 = 81,857.57 : x
  2. Step 2: Convert to fraction form
    99,424.65/149,136.98 = 81,857.57/x
  3. Step 3: Cross multiply
    99,424.65x = 149,136.98 × 81,857.57
  4. Step 4: Simplify right side
    99,424.65x = 12,207,990,779.94
  5. Step 5: Solve for x
    x = 12,207,990,779.94/99,424.65
  6. Step 6: Final answer
    x = 122,786.36

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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.