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Finding the Fourth Proportional to 117,758.10, 162,449.10 and 69,977.64

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Solution

The fourth proportional to 117,758.10, 162,449.10 and 69,977.64 is: 96,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,758.10 : 162,449.10 = 69,977.64 : x
  2. Step 2: Convert to fraction form
    117,758.10/162,449.10 = 69,977.64/x
  3. Step 3: Cross multiply
    117,758.10x = 162,449.10 × 69,977.64
  4. Step 4: Simplify right side
    117,758.10x = 11,367,804,638.12
  5. Step 5: Solve for x
    x = 11,367,804,638.12/117,758.10
  6. Step 6: Final answer
    x = 96,535.22

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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.