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Finding the Fourth Proportional to 57,281.14, 85,901.21 and 19,831.16

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Solution

The fourth proportional to 57,281.14, 85,901.21 and 19,831.16 is: 29,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,281.14 : 85,901.21 = 19,831.16 : x
  2. Step 2: Convert to fraction form
    57,281.14/85,901.21 = 19,831.16/x
  3. Step 3: Cross multiply
    57,281.14x = 85,901.21 × 19,831.16
  4. Step 4: Simplify right side
    57,281.14x = 1,703,520,467.27
  5. Step 5: Solve for x
    x = 1,703,520,467.27/57,281.14
  6. Step 6: Final answer
    x = 29,739.64

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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.