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Finding the Fourth Proportional to 120,653.70, 180,956.78 and 40,683.88

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Solution

The fourth proportional to 120,653.70, 180,956.78 and 40,683.88 is: 61,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,653.70 : 180,956.78 = 40,683.88 : x
  2. Step 2: Convert to fraction form
    120,653.70/180,956.78 = 40,683.88/x
  3. Step 3: Cross multiply
    120,653.70x = 180,956.78 × 40,683.88
  4. Step 4: Simplify right side
    120,653.70x = 7,362,023,922.71
  5. Step 5: Solve for x
    x = 7,362,023,922.71/120,653.70
  6. Step 6: Final answer
    x = 61,017.80

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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.