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Finding the Fourth Proportional to 199,469.79, 298,946.16 and 81,003.51

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Solution

The fourth proportional to 199,469.79, 298,946.16 and 81,003.51 is: 121,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469.79 : 298,946.16 = 81,003.51 : x
  2. Step 2: Convert to fraction form
    199,469.79/298,946.16 = 81,003.51/x
  3. Step 3: Cross multiply
    199,469.79x = 298,946.16 × 81,003.51
  4. Step 4: Simplify right side
    199,469.79x = 24,215,688,261.02
  5. Step 5: Solve for x
    x = 24,215,688,261.02/199,469.79
  6. Step 6: Final answer
    x = 121,400.28

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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.