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Finding the Fourth Proportional to 199,783.20, 299,478.60 and 99,793.56

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Solution

The fourth proportional to 199,783.20, 299,478.60 and 99,793.56 is: 149,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,783.20 : 299,478.60 = 99,793.56 : x
  2. Step 2: Convert to fraction form
    199,783.20/299,478.60 = 99,793.56/x
  3. Step 3: Cross multiply
    199,783.20x = 299,478.60 × 99,793.56
  4. Step 4: Simplify right side
    199,783.20x = 29,886,035,637.82
  5. Step 5: Solve for x
    x = 29,886,035,637.82/199,783.20
  6. Step 6: Final answer
    x = 149,592.34

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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.