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Finding the Fourth Proportional to 103,618.72, 155,224.69 and 53,731.43

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Solution

The fourth proportional to 103,618.72, 155,224.69 and 53,731.43 is: 80,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618.72 : 155,224.69 = 53,731.43 : x
  2. Step 2: Convert to fraction form
    103,618.72/155,224.69 = 53,731.43/x
  3. Step 3: Cross multiply
    103,618.72x = 155,224.69 × 53,731.43
  4. Step 4: Simplify right side
    103,618.72x = 8,340,444,565.01
  5. Step 5: Solve for x
    x = 8,340,444,565.01/103,618.72
  6. Step 6: Final answer
    x = 80,491.68

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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.