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Finding the Fourth Proportional to 122,310.20, 183,465.30 and 84,985.40

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Solution

The fourth proportional to 122,310.20, 183,465.30 and 84,985.40 is: 127,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,310.20 : 183,465.30 = 84,985.40 : x
  2. Step 2: Convert to fraction form
    122,310.20/183,465.30 = 84,985.40/x
  3. Step 3: Cross multiply
    122,310.20x = 183,465.30 × 84,985.40
  4. Step 4: Simplify right side
    122,310.20x = 15,591,871,906.62
  5. Step 5: Solve for x
    x = 15,591,871,906.62/122,310.20
  6. Step 6: Final answer
    x = 127,478.10

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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.