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Finding the Fourth Proportional to 69,083, 103,627.20 and 21,730.40

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Solution

The fourth proportional to 69,083, 103,627.20 and 21,730.40 is: 32,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,083 : 103,627.20 = 21,730.40 : x
  2. Step 2: Convert to fraction form
    69,083/103,627.20 = 21,730.40/x
  3. Step 3: Cross multiply
    69,083x = 103,627.20 × 21,730.40
  4. Step 4: Simplify right side
    69,083x = 2,251,860,506.88
  5. Step 5: Solve for x
    x = 2,251,860,506.88/69,083
  6. Step 6: Final answer
    x = 32,596.45

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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.