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Finding the Fourth Proportional to 102,149.44, 140,969.60 and 61,870.72

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Solution

The fourth proportional to 102,149.44, 140,969.60 and 61,870.72 is: 85,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.44 : 140,969.60 = 61,870.72 : x
  2. Step 2: Convert to fraction form
    102,149.44/140,969.60 = 61,870.72/x
  3. Step 3: Cross multiply
    102,149.44x = 140,969.60 × 61,870.72
  4. Step 4: Simplify right side
    102,149.44x = 8,721,890,650.11
  5. Step 5: Solve for x
    x = 8,721,890,650.11/102,149.44
  6. Step 6: Final answer
    x = 85,383.64

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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.