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Finding the Fourth Proportional to 122,682.80, 183,894.60 and 69,978.80

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Solution

The fourth proportional to 122,682.80, 183,894.60 and 69,978.80 is: 104,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,682.80 : 183,894.60 = 69,978.80 : x
  2. Step 2: Convert to fraction form
    122,682.80/183,894.60 = 69,978.80/x
  3. Step 3: Cross multiply
    122,682.80x = 183,894.60 × 69,978.80
  4. Step 4: Simplify right side
    122,682.80x = 12,868,723,434.48
  5. Step 5: Solve for x
    x = 12,868,723,434.48/122,682.80
  6. Step 6: Final answer
    x = 104,894.28

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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.