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Finding the Fourth Proportional to 253,614.82, 380,409.18 and 85,136.44

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Solution

The fourth proportional to 253,614.82, 380,409.18 and 85,136.44 is: 127,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,614.82 : 380,409.18 = 85,136.44 : x
  2. Step 2: Convert to fraction form
    253,614.82/380,409.18 = 85,136.44/x
  3. Step 3: Cross multiply
    253,614.82x = 380,409.18 × 85,136.44
  4. Step 4: Simplify right side
    253,614.82x = 32,386,683,328.52
  5. Step 5: Solve for x
    x = 32,386,683,328.52/253,614.82
  6. Step 6: Final answer
    x = 127,700.28

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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.