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Finding the Fourth Proportional to 187,164.57, 280,705.50 and 54,015.86

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Solution

The fourth proportional to 187,164.57, 280,705.50 and 54,015.86 is: 81,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,164.57 : 280,705.50 = 54,015.86 : x
  2. Step 2: Convert to fraction form
    187,164.57/280,705.50 = 54,015.86/x
  3. Step 3: Cross multiply
    187,164.57x = 280,705.50 × 54,015.86
  4. Step 4: Simplify right side
    187,164.57x = 15,162,549,690.99
  5. Step 5: Solve for x
    x = 15,162,549,690.99/187,164.57
  6. Step 6: Final answer
    x = 81,011.86

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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.