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Finding the Fourth Proportional to 172,686, 259,017.12 and 106,136.40

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Solution

The fourth proportional to 172,686, 259,017.12 and 106,136.40 is: 159,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,686 : 259,017.12 = 106,136.40 : x
  2. Step 2: Convert to fraction form
    172,686/259,017.12 = 106,136.40/x
  3. Step 3: Cross multiply
    172,686x = 259,017.12 × 106,136.40
  4. Step 4: Simplify right side
    172,686x = 27,491,144,655.17
  5. Step 5: Solve for x
    x = 27,491,144,655.17/172,686
  6. Step 6: Final answer
    x = 159,197.30

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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.