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Finding the Fourth Proportional to 130,999.20, 196,207.20 and 113,503.20

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Solution

The fourth proportional to 130,999.20, 196,207.20 and 113,503.20 is: 170,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,999.20 : 196,207.20 = 113,503.20 : x
  2. Step 2: Convert to fraction form
    130,999.20/196,207.20 = 113,503.20/x
  3. Step 3: Cross multiply
    130,999.20x = 196,207.20 × 113,503.20
  4. Step 4: Simplify right side
    130,999.20x = 22,270,145,063.04
  5. Step 5: Solve for x
    x = 22,270,145,063.04/130,999.20
  6. Step 6: Final answer
    x = 170,002.15

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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.