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Finding the Fourth Proportional to 106,539.76, 159,768.09 and 39,943.60

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Solution

The fourth proportional to 106,539.76, 159,768.09 and 39,943.60 is: 59,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,539.76 : 159,768.09 = 39,943.60 : x
  2. Step 2: Convert to fraction form
    106,539.76/159,768.09 = 39,943.60/x
  3. Step 3: Cross multiply
    106,539.76x = 159,768.09 × 39,943.60
  4. Step 4: Simplify right side
    106,539.76x = 6,381,712,679.72
  5. Step 5: Solve for x
    x = 6,381,712,679.72/106,539.76
  6. Step 6: Final answer
    x = 59,899.82

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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.