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Finding the Fourth Proportional to 103,166.28, 154,749.47 and 68,097.74

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Solution

The fourth proportional to 103,166.28, 154,749.47 and 68,097.74 is: 102,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,166.28 : 154,749.47 = 68,097.74 : x
  2. Step 2: Convert to fraction form
    103,166.28/154,749.47 = 68,097.74/x
  3. Step 3: Cross multiply
    103,166.28x = 154,749.47 × 68,097.74
  4. Step 4: Simplify right side
    103,166.28x = 10,538,088,058.96
  5. Step 5: Solve for x
    x = 10,538,088,058.96/103,166.28
  6. Step 6: Final answer
    x = 102,146.63

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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.