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Finding the Fourth Proportional to 69,421.55, 104,048.84 and 31,929.95

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Solution

The fourth proportional to 69,421.55, 104,048.84 and 31,929.95 is: 47,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,421.55 : 104,048.84 = 31,929.95 : x
  2. Step 2: Convert to fraction form
    69,421.55/104,048.84 = 31,929.95/x
  3. Step 3: Cross multiply
    69,421.55x = 104,048.84 × 31,929.95
  4. Step 4: Simplify right side
    69,421.55x = 3,322,273,578.86
  5. Step 5: Solve for x
    x = 3,322,273,578.86/69,421.55
  6. Step 6: Final answer
    x = 47,856.52

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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.