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Finding the Fourth Proportional to 208,588.50, 312,867.02 and 66,428.03

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Solution

The fourth proportional to 208,588.50, 312,867.02 and 66,428.03 is: 99,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,588.50 : 312,867.02 = 66,428.03 : x
  2. Step 2: Convert to fraction form
    208,588.50/312,867.02 = 66,428.03/x
  3. Step 3: Cross multiply
    208,588.50x = 312,867.02 × 66,428.03
  4. Step 4: Simplify right side
    208,588.50x = 20,783,140,738.81
  5. Step 5: Solve for x
    x = 20,783,140,738.81/208,588.50
  6. Step 6: Final answer
    x = 99,637.04

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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.