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Finding the Fourth Proportional to 105,083.87, 145,020.88 and 59,157.78

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Solution

The fourth proportional to 105,083.87, 145,020.88 and 59,157.78 is: 81,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,083.87 : 145,020.88 = 59,157.78 : x
  2. Step 2: Convert to fraction form
    105,083.87/145,020.88 = 59,157.78/x
  3. Step 3: Cross multiply
    105,083.87x = 145,020.88 × 59,157.78
  4. Step 4: Simplify right side
    105,083.87x = 8,579,112,844.57
  5. Step 5: Solve for x
    x = 8,579,112,844.57/105,083.87
  6. Step 6: Final answer
    x = 81,640.63

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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.