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Finding the Fourth Proportional to 186,781.70, 280,142.47 and 53,631.67

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Solution

The fourth proportional to 186,781.70, 280,142.47 and 53,631.67 is: 80,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,781.70 : 280,142.47 = 53,631.67 : x
  2. Step 2: Convert to fraction form
    186,781.70/280,142.47 = 53,631.67/x
  3. Step 3: Cross multiply
    186,781.70x = 280,142.47 × 53,631.67
  4. Step 4: Simplify right side
    186,781.70x = 15,024,508,395.98
  5. Step 5: Solve for x
    x = 15,024,508,395.98/186,781.70
  6. Step 6: Final answer
    x = 80,438.87

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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.