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Finding the Fourth Proportional to 130,020.40, 194,811.90 and 111,212.20

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Solution

The fourth proportional to 130,020.40, 194,811.90 and 111,212.20 is: 166,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,020.40 : 194,811.90 = 111,212.20 : x
  2. Step 2: Convert to fraction form
    130,020.40/194,811.90 = 111,212.20/x
  3. Step 3: Cross multiply
    130,020.40x = 194,811.90 × 111,212.20
  4. Step 4: Simplify right side
    130,020.40x = 21,665,459,985.18
  5. Step 5: Solve for x
    x = 21,665,459,985.18/130,020.40
  6. Step 6: Final answer
    x = 166,631.24

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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.