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Finding the Fourth Proportional to 57,221.96, 85,831.12 and 17,768.48

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Solution

The fourth proportional to 57,221.96, 85,831.12 and 17,768.48 is: 26,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.96 : 85,831.12 = 17,768.48 : x
  2. Step 2: Convert to fraction form
    57,221.96/85,831.12 = 17,768.48/x
  3. Step 3: Cross multiply
    57,221.96x = 85,831.12 × 17,768.48
  4. Step 4: Simplify right side
    57,221.96x = 1,525,088,450.26
  5. Step 5: Solve for x
    x = 1,525,088,450.26/57,221.96
  6. Step 6: Final answer
    x = 26,652.15

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1.5x scale

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.