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Finding the Fourth Proportional to 57,100.50, 78,798.69 and 31,954.86

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Solution

The fourth proportional to 57,100.50, 78,798.69 and 31,954.86 is: 44,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,100.50 : 78,798.69 = 31,954.86 : x
  2. Step 2: Convert to fraction form
    57,100.50/78,798.69 = 31,954.86/x
  3. Step 3: Cross multiply
    57,100.50x = 78,798.69 × 31,954.86
  4. Step 4: Simplify right side
    57,100.50x = 2,518,001,107.13
  5. Step 5: Solve for x
    x = 2,518,001,107.13/57,100.50
  6. Step 6: Final answer
    x = 44,097.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.