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Finding the Fourth Proportional to 131,729.79, 197,594.82 and 61,658.31

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Solution

The fourth proportional to 131,729.79, 197,594.82 and 61,658.31 is: 92,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,729.79 : 197,594.82 = 61,658.31 : x
  2. Step 2: Convert to fraction form
    131,729.79/197,594.82 = 61,658.31/x
  3. Step 3: Cross multiply
    131,729.79x = 197,594.82 × 61,658.31
  4. Step 4: Simplify right side
    131,729.79x = 12,183,362,665.95
  5. Step 5: Solve for x
    x = 12,183,362,665.95/131,729.79
  6. Step 6: Final answer
    x = 92,487.53

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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.