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Finding the Fourth Proportional to 122,830.60, 184,343.10 and 47,986.60

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Solution

The fourth proportional to 122,830.60, 184,343.10 and 47,986.60 is: 72,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,830.60 : 184,343.10 = 47,986.60 : x
  2. Step 2: Convert to fraction form
    122,830.60/184,343.10 = 47,986.60/x
  3. Step 3: Cross multiply
    122,830.60x = 184,343.10 × 47,986.60
  4. Step 4: Simplify right side
    122,830.60x = 8,845,998,602.46
  5. Step 5: Solve for x
    x = 8,845,998,602.46/122,830.60
  6. Step 6: Final answer
    x = 72,017.87

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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.