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Finding the Fourth Proportional to 197,902.80, 296,416.80 and 79,513.20

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Solution

The fourth proportional to 197,902.80, 296,416.80 and 79,513.20 is: 119,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,902.80 : 296,416.80 = 79,513.20 : x
  2. Step 2: Convert to fraction form
    197,902.80/296,416.80 = 79,513.20/x
  3. Step 3: Cross multiply
    197,902.80x = 296,416.80 × 79,513.20
  4. Step 4: Simplify right side
    197,902.80x = 23,569,048,301.76
  5. Step 5: Solve for x
    x = 23,569,048,301.76/197,902.80
  6. Step 6: Final answer
    x = 119,094.06

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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.