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Finding the Fourth Proportional to 198,756.65, 298,136.74 and 56,601.81

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Solution

The fourth proportional to 198,756.65, 298,136.74 and 56,601.81 is: 84,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,756.65 : 298,136.74 = 56,601.81 : x
  2. Step 2: Convert to fraction form
    198,756.65/298,136.74 = 56,601.81/x
  3. Step 3: Cross multiply
    198,756.65x = 298,136.74 × 56,601.81
  4. Step 4: Simplify right side
    198,756.65x = 16,875,079,835.04
  5. Step 5: Solve for x
    x = 16,875,079,835.04/198,756.65
  6. Step 6: Final answer
    x = 84,903.22

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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.