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Finding the Fourth Proportional to 106,498.80, 159,770.88 and 31,619.16

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Solution

The fourth proportional to 106,498.80, 159,770.88 and 31,619.16 is: 47,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,498.80 : 159,770.88 = 31,619.16 : x
  2. Step 2: Convert to fraction form
    106,498.80/159,770.88 = 31,619.16/x
  3. Step 3: Cross multiply
    106,498.80x = 159,770.88 × 31,619.16
  4. Step 4: Simplify right side
    106,498.80x = 5,051,821,018.06
  5. Step 5: Solve for x
    x = 5,051,821,018.06/106,498.80
  6. Step 6: Final answer
    x = 47,435.47

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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.