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Finding the Fourth Proportional to 205,431.70, 308,201.55 and 65,190.10

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Solution

The fourth proportional to 205,431.70, 308,201.55 and 65,190.10 is: 97,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,431.70 : 308,201.55 = 65,190.10 : x
  2. Step 2: Convert to fraction form
    205,431.70/308,201.55 = 65,190.10/x
  3. Step 3: Cross multiply
    205,431.70x = 308,201.55 × 65,190.10
  4. Step 4: Simplify right side
    205,431.70x = 20,091,689,864.66
  5. Step 5: Solve for x
    x = 20,091,689,864.66/205,431.70
  6. Step 6: Final answer
    x = 97,802.29

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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.