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Finding the Fourth Proportional to 103,411.96, 155,136.12 and 53,478.46

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Solution

The fourth proportional to 103,411.96, 155,136.12 and 53,478.46 is: 80,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411.96 : 155,136.12 = 53,478.46 : x
  2. Step 2: Convert to fraction form
    103,411.96/155,136.12 = 53,478.46/x
  3. Step 3: Cross multiply
    103,411.96x = 155,136.12 × 53,478.46
  4. Step 4: Simplify right side
    103,411.96x = 8,296,440,787.98
  5. Step 5: Solve for x
    x = 8,296,440,787.98/103,411.96
  6. Step 6: Final answer
    x = 80,227.09

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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.