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Finding the Fourth Proportional to 257,136.80, 385,705.20 and 67,596.80

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Solution

The fourth proportional to 257,136.80, 385,705.20 and 67,596.80 is: 101,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,136.80 : 385,705.20 = 67,596.80 : x
  2. Step 2: Convert to fraction form
    257,136.80/385,705.20 = 67,596.80/x
  3. Step 3: Cross multiply
    257,136.80x = 385,705.20 × 67,596.80
  4. Step 4: Simplify right side
    257,136.80x = 26,072,437,263.36
  5. Step 5: Solve for x
    x = 26,072,437,263.36/257,136.80
  6. Step 6: Final answer
    x = 101,395.20

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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.