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Finding the Fourth Proportional to 111,176.32, 166,619.84 and 84,784

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Solution

The fourth proportional to 111,176.32, 166,619.84 and 84,784 is: 127,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,176.32 : 166,619.84 = 84,784 : x
  2. Step 2: Convert to fraction form
    111,176.32/166,619.84 = 84,784/x
  3. Step 3: Cross multiply
    111,176.32x = 166,619.84 × 84,784
  4. Step 4: Simplify right side
    111,176.32x = 14,126,696,514.56
  5. Step 5: Solve for x
    x = 14,126,696,514.56/111,176.32
  6. Step 6: Final answer
    x = 127,065.70

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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.