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Finding the Fourth Proportional to 259,688.76, 389,583.63 and 99,753

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Solution

The fourth proportional to 259,688.76, 389,583.63 and 99,753 is: 149,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,688.76 : 389,583.63 = 99,753 : x
  2. Step 2: Convert to fraction form
    259,688.76/389,583.63 = 99,753/x
  3. Step 3: Cross multiply
    259,688.76x = 389,583.63 × 99,753
  4. Step 4: Simplify right side
    259,688.76x = 38,862,135,843.39
  5. Step 5: Solve for x
    x = 38,862,135,843.39/259,688.76
  6. Step 6: Final answer
    x = 149,648.89

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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.