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Finding the Fourth Proportional to 187,421, 281,131.78 and 76,613

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Solution

The fourth proportional to 187,421, 281,131.78 and 76,613 is: 114,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,421 : 281,131.78 = 76,613 : x
  2. Step 2: Convert to fraction form
    187,421/281,131.78 = 76,613/x
  3. Step 3: Cross multiply
    187,421x = 281,131.78 × 76,613
  4. Step 4: Simplify right side
    187,421x = 21,538,349,061.14
  5. Step 5: Solve for x
    x = 21,538,349,061.14/187,421
  6. Step 6: Final answer
    x = 114,919.61

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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.