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Finding the Fourth Proportional to 111,314, 166,980.72 and 28,208

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Solution

The fourth proportional to 111,314, 166,980.72 and 28,208 is: 42,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,314 : 166,980.72 = 28,208 : x
  2. Step 2: Convert to fraction form
    111,314/166,980.72 = 28,208/x
  3. Step 3: Cross multiply
    111,314x = 166,980.72 × 28,208
  4. Step 4: Simplify right side
    111,314x = 4,710,192,149.76
  5. Step 5: Solve for x
    x = 4,710,192,149.76/111,314
  6. Step 6: Final answer
    x = 42,314.46

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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.