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Finding the Fourth Proportional to 162,980.12, 224,922.02 and 91,383.18

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Solution

The fourth proportional to 162,980.12, 224,922.02 and 91,383.18 is: 126,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,980.12 : 224,922.02 = 91,383.18 : x
  2. Step 2: Convert to fraction form
    162,980.12/224,922.02 = 91,383.18/x
  3. Step 3: Cross multiply
    162,980.12x = 224,922.02 × 91,383.18
  4. Step 4: Simplify right side
    162,980.12x = 20,554,088,982.71
  5. Step 5: Solve for x
    x = 20,554,088,982.71/162,980.12
  6. Step 6: Final answer
    x = 126,114.09

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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.