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Finding the Fourth Proportional to 187,247.76, 280,623.24 and 81,952.08

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Solution

The fourth proportional to 187,247.76, 280,623.24 and 81,952.08 is: 122,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,247.76 : 280,623.24 = 81,952.08 : x
  2. Step 2: Convert to fraction form
    187,247.76/280,623.24 = 81,952.08/x
  3. Step 3: Cross multiply
    187,247.76x = 280,623.24 × 81,952.08
  4. Step 4: Simplify right side
    187,247.76x = 22,997,658,214.34
  5. Step 5: Solve for x
    x = 22,997,658,214.34/187,247.76
  6. Step 6: Final answer
    x = 122,819.40

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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.