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Finding the Fourth Proportional to 261,189.68, 391,753.73 and 71,669.21

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Solution

The fourth proportional to 261,189.68, 391,753.73 and 71,669.21 is: 107,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,189.68 : 391,753.73 = 71,669.21 : x
  2. Step 2: Convert to fraction form
    261,189.68/391,753.73 = 71,669.21/x
  3. Step 3: Cross multiply
    261,189.68x = 391,753.73 × 71,669.21
  4. Step 4: Simplify right side
    261,189.68x = 28,076,678,564.06
  5. Step 5: Solve for x
    x = 28,076,678,564.06/261,189.68
  6. Step 6: Final answer
    x = 107,495.36

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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.