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Finding the Fourth Proportional to 57,152.61, 78,873.57 and 31,661.78

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Solution

The fourth proportional to 57,152.61, 78,873.57 and 31,661.78 is: 43,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.61 : 78,873.57 = 31,661.78 : x
  2. Step 2: Convert to fraction form
    57,152.61/78,873.57 = 31,661.78/x
  3. Step 3: Cross multiply
    57,152.61x = 78,873.57 × 31,661.78
  4. Step 4: Simplify right side
    57,152.61x = 2,497,277,226.79
  5. Step 5: Solve for x
    x = 2,497,277,226.79/57,152.61
  6. Step 6: Final answer
    x = 43,694.89

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1.5x scale

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.