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Finding the Fourth Proportional to 253,272, 380,039.22 and 128,613

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Solution

The fourth proportional to 253,272, 380,039.22 and 128,613 is: 192,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,272 : 380,039.22 = 128,613 : x
  2. Step 2: Convert to fraction form
    253,272/380,039.22 = 128,613/x
  3. Step 3: Cross multiply
    253,272x = 380,039.22 × 128,613
  4. Step 4: Simplify right side
    253,272x = 48,877,984,201.86
  5. Step 5: Solve for x
    x = 48,877,984,201.86/253,272
  6. Step 6: Final answer
    x = 192,986.13

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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.