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Finding the Fourth Proportional to 57,122.76, 78,785.86 and 37,968.20

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Solution

The fourth proportional to 57,122.76, 78,785.86 and 37,968.20 is: 52,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,122.76 : 78,785.86 = 37,968.20 : x
  2. Step 2: Convert to fraction form
    57,122.76/78,785.86 = 37,968.20/x
  3. Step 3: Cross multiply
    57,122.76x = 78,785.86 × 37,968.20
  4. Step 4: Simplify right side
    57,122.76x = 2,991,357,289.65
  5. Step 5: Solve for x
    x = 2,991,357,289.65/57,122.76
  6. Step 6: Final answer
    x = 52,367.17

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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.