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Finding the Fourth Proportional to 102,682.31, 153,808.81 and 82,583.17

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Solution

The fourth proportional to 102,682.31, 153,808.81 and 82,583.17 is: 123,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682.31 : 153,808.81 = 82,583.17 : x
  2. Step 2: Convert to fraction form
    102,682.31/153,808.81 = 82,583.17/x
  3. Step 3: Cross multiply
    102,682.31x = 153,808.81 × 82,583.17
  4. Step 4: Simplify right side
    102,682.31x = 12,702,018,512.75
  5. Step 5: Solve for x
    x = 12,702,018,512.75/102,682.31
  6. Step 6: Final answer
    x = 123,702.12

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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.