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Finding the Fourth Proportional to 102,921.18, 154,135.31 and 65,363.73

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Solution

The fourth proportional to 102,921.18, 154,135.31 and 65,363.73 is: 97,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,921.18 : 154,135.31 = 65,363.73 : x
  2. Step 2: Convert to fraction form
    102,921.18/154,135.31 = 65,363.73/x
  3. Step 3: Cross multiply
    102,921.18x = 154,135.31 × 65,363.73
  4. Step 4: Simplify right side
    102,921.18x = 10,074,858,459.49
  5. Step 5: Solve for x
    x = 10,074,858,459.49/102,921.18
  6. Step 6: Final answer
    x = 97,889.07

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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.