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Finding the Fourth Proportional to 114,157, 171,313.28 and 40,285

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Solution

The fourth proportional to 114,157, 171,313.28 and 40,285 is: 60,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,157 : 171,313.28 = 40,285 : x
  2. Step 2: Convert to fraction form
    114,157/171,313.28 = 40,285/x
  3. Step 3: Cross multiply
    114,157x = 171,313.28 × 40,285
  4. Step 4: Simplify right side
    114,157x = 6,901,355,484.80
  5. Step 5: Solve for x
    x = 6,901,355,484.80/114,157
  6. Step 6: Final answer
    x = 60,454.95

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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.