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Finding the Fourth Proportional to 261,342.89, 391,967.59 and 69,218.64

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Solution

The fourth proportional to 261,342.89, 391,967.59 and 69,218.64 is: 103,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,342.89 : 391,967.59 = 69,218.64 : x
  2. Step 2: Convert to fraction form
    261,342.89/391,967.59 = 69,218.64/x
  3. Step 3: Cross multiply
    261,342.89x = 391,967.59 × 69,218.64
  4. Step 4: Simplify right side
    261,342.89x = 27,131,463,503.88
  5. Step 5: Solve for x
    x = 27,131,463,503.88/261,342.89
  6. Step 6: Final answer
    x = 103,815.58

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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.