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Finding the Fourth Proportional to 85,229.77, 117,568.31 and 53,343.31

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Solution

The fourth proportional to 85,229.77, 117,568.31 and 53,343.31 is: 73,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,229.77 : 117,568.31 = 53,343.31 : x
  2. Step 2: Convert to fraction form
    85,229.77/117,568.31 = 53,343.31/x
  3. Step 3: Cross multiply
    85,229.77x = 117,568.31 × 53,343.31
  4. Step 4: Simplify right side
    85,229.77x = 6,271,482,806.51
  5. Step 5: Solve for x
    x = 6,271,482,806.51/85,229.77
  6. Step 6: Final answer
    x = 73,583.24

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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.