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Finding the Fourth Proportional to 136,820.40, 205,230.60 and 122,823.60

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Solution

The fourth proportional to 136,820.40, 205,230.60 and 122,823.60 is: 184,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,820.40 : 205,230.60 = 122,823.60 : x
  2. Step 2: Convert to fraction form
    136,820.40/205,230.60 = 122,823.60/x
  3. Step 3: Cross multiply
    136,820.40x = 205,230.60 × 122,823.60
  4. Step 4: Simplify right side
    136,820.40x = 25,207,161,122.16
  5. Step 5: Solve for x
    x = 25,207,161,122.16/136,820.40
  6. Step 6: Final answer
    x = 184,235.40

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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.