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Finding the Fourth Proportional to 122,959.20, 184,525.20 and 78,693.60

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Solution

The fourth proportional to 122,959.20, 184,525.20 and 78,693.60 is: 118,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,959.20 : 184,525.20 = 78,693.60 : x
  2. Step 2: Convert to fraction form
    122,959.20/184,525.20 = 78,693.60/x
  3. Step 3: Cross multiply
    122,959.20x = 184,525.20 × 78,693.60
  4. Step 4: Simplify right side
    122,959.20x = 14,520,952,278.72
  5. Step 5: Solve for x
    x = 14,520,952,278.72/122,959.20
  6. Step 6: Final answer
    x = 118,095.70

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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.