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Finding the Fourth Proportional to 261,200.70, 391,801.50 and 71,663.67

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Solution

The fourth proportional to 261,200.70, 391,801.50 and 71,663.67 is: 107,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,200.70 : 391,801.50 = 71,663.67 : x
  2. Step 2: Convert to fraction form
    261,200.70/391,801.50 = 71,663.67/x
  3. Step 3: Cross multiply
    261,200.70x = 391,801.50 × 71,663.67
  4. Step 4: Simplify right side
    261,200.70x = 28,077,933,401.51
  5. Step 5: Solve for x
    x = 28,077,933,401.51/261,200.70
  6. Step 6: Final answer
    x = 107,495.63

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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.