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Finding the Fourth Proportional to 106,765.80, 160,146.67 and 31,886.16

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Solution

The fourth proportional to 106,765.80, 160,146.67 and 31,886.16 is: 47,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,765.80 : 160,146.67 = 31,886.16 : x
  2. Step 2: Convert to fraction form
    106,765.80/160,146.67 = 31,886.16/x
  3. Step 3: Cross multiply
    106,765.80x = 160,146.67 × 31,886.16
  4. Step 4: Simplify right side
    106,765.80x = 5,106,462,343.09
  5. Step 5: Solve for x
    x = 5,106,462,343.09/106,765.80
  6. Step 6: Final answer
    x = 47,828.63

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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.