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Finding the Fourth Proportional to 208,066.03, 311,848.07 and 101,289.94

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Solution

The fourth proportional to 208,066.03, 311,848.07 and 101,289.94 is: 151,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,066.03 : 311,848.07 = 101,289.94 : x
  2. Step 2: Convert to fraction form
    208,066.03/311,848.07 = 101,289.94/x
  3. Step 3: Cross multiply
    208,066.03x = 311,848.07 × 101,289.94
  4. Step 4: Simplify right side
    208,066.03x = 31,587,072,299.42
  5. Step 5: Solve for x
    x = 31,587,072,299.42/208,066.03
  6. Step 6: Final answer
    x = 151,812.73

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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.