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Finding the Fourth Proportional to 106,342.80, 159,317.40 and 61,990.80

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Solution

The fourth proportional to 106,342.80, 159,317.40 and 61,990.80 is: 92,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,342.80 : 159,317.40 = 61,990.80 : x
  2. Step 2: Convert to fraction form
    106,342.80/159,317.40 = 61,990.80/x
  3. Step 3: Cross multiply
    106,342.80x = 159,317.40 × 61,990.80
  4. Step 4: Simplify right side
    106,342.80x = 9,876,213,079.92
  5. Step 5: Solve for x
    x = 9,876,213,079.92/106,342.80
  6. Step 6: Final answer
    x = 92,871.48

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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.