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Finding the Fourth Proportional to 137,280.60, 205,920.90 and 122,765.40

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Solution

The fourth proportional to 137,280.60, 205,920.90 and 122,765.40 is: 184,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,280.60 : 205,920.90 = 122,765.40 : x
  2. Step 2: Convert to fraction form
    137,280.60/205,920.90 = 122,765.40/x
  3. Step 3: Cross multiply
    137,280.60x = 205,920.90 × 122,765.40
  4. Step 4: Simplify right side
    137,280.60x = 25,279,961,656.86
  5. Step 5: Solve for x
    x = 25,279,961,656.86/137,280.60
  6. Step 6: Final answer
    x = 184,148.10

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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.