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Finding the Fourth Proportional to 102,059.56, 140,845.08 and 61,780.60

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Solution

The fourth proportional to 102,059.56, 140,845.08 and 61,780.60 is: 85,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,059.56 : 140,845.08 = 61,780.60 : x
  2. Step 2: Convert to fraction form
    102,059.56/140,845.08 = 61,780.60/x
  3. Step 3: Cross multiply
    102,059.56x = 140,845.08 × 61,780.60
  4. Step 4: Simplify right side
    102,059.56x = 8,701,493,549.45
  5. Step 5: Solve for x
    x = 8,701,493,549.45/102,059.56
  6. Step 6: Final answer
    x = 85,258.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.