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Finding the Fourth Proportional to 208,099.95, 312,189.30 and 65,981.03

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Solution

The fourth proportional to 208,099.95, 312,189.30 and 65,981.03 is: 98,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,099.95 : 312,189.30 = 65,981.03 : x
  2. Step 2: Convert to fraction form
    208,099.95/312,189.30 = 65,981.03/x
  3. Step 3: Cross multiply
    208,099.95x = 312,189.30 × 65,981.03
  4. Step 4: Simplify right side
    208,099.95x = 20,598,570,008.03
  5. Step 5: Solve for x
    x = 20,598,570,008.03/208,099.95
  6. Step 6: Final answer
    x = 98,984.02

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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.