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Finding the Fourth Proportional to 150,978.57, 208,355.09 and 83,000.73

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Solution

The fourth proportional to 150,978.57, 208,355.09 and 83,000.73 is: 114,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,978.57 : 208,355.09 = 83,000.73 : x
  2. Step 2: Convert to fraction form
    150,978.57/208,355.09 = 83,000.73/x
  3. Step 3: Cross multiply
    150,978.57x = 208,355.09 × 83,000.73
  4. Step 4: Simplify right side
    150,978.57x = 17,293,624,935.54
  5. Step 5: Solve for x
    x = 17,293,624,935.54/150,978.57
  6. Step 6: Final answer
    x = 114,543.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.