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Finding the Fourth Proportional to 69,153.68, 103,730.52 and 19,231.76

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Solution

The fourth proportional to 69,153.68, 103,730.52 and 19,231.76 is: 28,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,153.68 : 103,730.52 = 19,231.76 : x
  2. Step 2: Convert to fraction form
    69,153.68/103,730.52 = 19,231.76/x
  3. Step 3: Cross multiply
    69,153.68x = 103,730.52 × 19,231.76
  4. Step 4: Simplify right side
    69,153.68x = 1,994,920,465.32
  5. Step 5: Solve for x
    x = 1,994,920,465.32/69,153.68
  6. Step 6: Final answer
    x = 28,847.64

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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.