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Finding the Fourth Proportional to 103,896.31, 143,376.95 and 59,184.31

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Solution

The fourth proportional to 103,896.31, 143,376.95 and 59,184.31 is: 81,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896.31 : 143,376.95 = 59,184.31 : x
  2. Step 2: Convert to fraction form
    103,896.31/143,376.95 = 59,184.31/x
  3. Step 3: Cross multiply
    103,896.31x = 143,376.95 × 59,184.31
  4. Step 4: Simplify right side
    103,896.31x = 8,485,665,855.65
  5. Step 5: Solve for x
    x = 8,485,665,855.65/103,896.31
  6. Step 6: Final answer
    x = 81,674.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.