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Finding the Fourth Proportional to 187,322.50, 280,984.02 and 76,514.50

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Solution

The fourth proportional to 187,322.50, 280,984.02 and 76,514.50 is: 114,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,322.50 : 280,984.02 = 76,514.50 : x
  2. Step 2: Convert to fraction form
    187,322.50/280,984.02 = 76,514.50/x
  3. Step 3: Cross multiply
    187,322.50x = 280,984.02 × 76,514.50
  4. Step 4: Simplify right side
    187,322.50x = 21,499,351,798.29
  5. Step 5: Solve for x
    x = 21,499,351,798.29/187,322.50
  6. Step 6: Final answer
    x = 114,771.86

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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.