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Finding the Fourth Proportional to 122,419.40, 183,485.10 and 69,878.60

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Solution

The fourth proportional to 122,419.40, 183,485.10 and 69,878.60 is: 104,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,419.40 : 183,485.10 = 69,878.60 : x
  2. Step 2: Convert to fraction form
    122,419.40/183,485.10 = 69,878.60/x
  3. Step 3: Cross multiply
    122,419.40x = 183,485.10 × 69,878.60
  4. Step 4: Simplify right side
    122,419.40x = 12,821,681,908.86
  5. Step 5: Solve for x
    x = 12,821,681,908.86/122,419.40
  6. Step 6: Final answer
    x = 104,735.70

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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.