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Finding the Fourth Proportional to 102,935.73, 154,314.73 and 39,800.08

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Solution

The fourth proportional to 102,935.73, 154,314.73 and 39,800.08 is: 59,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,935.73 : 154,314.73 = 39,800.08 : x
  2. Step 2: Convert to fraction form
    102,935.73/154,314.73 = 39,800.08/x
  3. Step 3: Cross multiply
    102,935.73x = 154,314.73 × 39,800.08
  4. Step 4: Simplify right side
    102,935.73x = 6,141,738,599.18
  5. Step 5: Solve for x
    x = 6,141,738,599.18/102,935.73
  6. Step 6: Final answer
    x = 59,665.76

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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.