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Finding the Fourth Proportional to 261,045.21, 391,742.79 and 167,616.57

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Solution

The fourth proportional to 261,045.21, 391,742.79 and 167,616.57 is: 251,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,045.21 : 391,742.79 = 167,616.57 : x
  2. Step 2: Convert to fraction form
    261,045.21/391,742.79 = 167,616.57/x
  3. Step 3: Cross multiply
    261,045.21x = 391,742.79 × 167,616.57
  4. Step 4: Simplify right side
    261,045.21x = 65,662,582,782.03
  5. Step 5: Solve for x
    x = 65,662,582,782.03/261,045.21
  6. Step 6: Final answer
    x = 251,537.21

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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.