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Finding the Fourth Proportional to 69,139.72, 103,657.74 and 35,815.24

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Solution

The fourth proportional to 69,139.72, 103,657.74 and 35,815.24 is: 53,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,139.72 : 103,657.74 = 35,815.24 : x
  2. Step 2: Convert to fraction form
    69,139.72/103,657.74 = 35,815.24/x
  3. Step 3: Cross multiply
    69,139.72x = 103,657.74 × 35,815.24
  4. Step 4: Simplify right side
    69,139.72x = 3,712,526,835.96
  5. Step 5: Solve for x
    x = 3,712,526,835.96/69,139.72
  6. Step 6: Final answer
    x = 53,696.01

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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.