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Finding the Fourth Proportional to 101,465.46, 140,023.08 and 61,171.20

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Solution

The fourth proportional to 101,465.46, 140,023.08 and 61,171.20 is: 84,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,465.46 : 140,023.08 = 61,171.20 : x
  2. Step 2: Convert to fraction form
    101,465.46/140,023.08 = 61,171.20/x
  3. Step 3: Cross multiply
    101,465.46x = 140,023.08 × 61,171.20
  4. Step 4: Simplify right side
    101,465.46x = 8,565,379,831.30
  5. Step 5: Solve for x
    x = 8,565,379,831.30/101,465.46
  6. Step 6: Final answer
    x = 84,416.71

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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.