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Finding the Fourth Proportional to 122,115.60, 182,784.60 and 87,123.60

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Solution

The fourth proportional to 122,115.60, 182,784.60 and 87,123.60 is: 130,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,115.60 : 182,784.60 = 87,123.60 : x
  2. Step 2: Convert to fraction form
    122,115.60/182,784.60 = 87,123.60/x
  3. Step 3: Cross multiply
    122,115.60x = 182,784.60 × 87,123.60
  4. Step 4: Simplify right side
    122,115.60x = 15,924,852,376.56
  5. Step 5: Solve for x
    x = 15,924,852,376.56/122,115.60
  6. Step 6: Final answer
    x = 130,408.01

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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.