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Finding the Fourth Proportional to 57,192.48, 78,930 and 35,989.92

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Solution

The fourth proportional to 57,192.48, 78,930 and 35,989.92 is: 49,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,192.48 : 78,930 = 35,989.92 : x
  2. Step 2: Convert to fraction form
    57,192.48/78,930 = 35,989.92/x
  3. Step 3: Cross multiply
    57,192.48x = 78,930 × 35,989.92
  4. Step 4: Simplify right side
    57,192.48x = 2,840,684,385.60
  5. Step 5: Solve for x
    x = 2,840,684,385.60/57,192.48
  6. Step 6: Final answer
    x = 49,668.84

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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.