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Finding the Fourth Proportional to 102,953.25, 154,138.59 and 65,420.28

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Solution

The fourth proportional to 102,953.25, 154,138.59 and 65,420.28 is: 97,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,953.25 : 154,138.59 = 65,420.28 : x
  2. Step 2: Convert to fraction form
    102,953.25/154,138.59 = 65,420.28/x
  3. Step 3: Cross multiply
    102,953.25x = 154,138.59 × 65,420.28
  4. Step 4: Simplify right side
    102,953.25x = 10,083,789,716.61
  5. Step 5: Solve for x
    x = 10,083,789,716.61/102,953.25
  6. Step 6: Final answer
    x = 97,945.33

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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.