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Finding the Fourth Proportional to 107,205.63, 160,785.87 and 69,140.88

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Solution

The fourth proportional to 107,205.63, 160,785.87 and 69,140.88 is: 103,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,205.63 : 160,785.87 = 69,140.88 : x
  2. Step 2: Convert to fraction form
    107,205.63/160,785.87 = 69,140.88/x
  3. Step 3: Cross multiply
    107,205.63x = 160,785.87 × 69,140.88
  4. Step 4: Simplify right side
    107,205.63x = 11,116,876,543.37
  5. Step 5: Solve for x
    x = 11,116,876,543.37/107,205.63
  6. Step 6: Final answer
    x = 103,696.76

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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.