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Finding the Fourth Proportional to 172,136.16, 258,217.12 and 47,476

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Solution

The fourth proportional to 172,136.16, 258,217.12 and 47,476 is: 71,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,136.16 : 258,217.12 = 47,476 : x
  2. Step 2: Convert to fraction form
    172,136.16/258,217.12 = 47,476/x
  3. Step 3: Cross multiply
    172,136.16x = 258,217.12 × 47,476
  4. Step 4: Simplify right side
    172,136.16x = 12,259,115,989.12
  5. Step 5: Solve for x
    x = 12,259,115,989.12/172,136.16
  6. Step 6: Final answer
    x = 71,217.55

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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.