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Finding the Fourth Proportional to 207,828, 286,830.72 and 117,202.56

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Solution

The fourth proportional to 207,828, 286,830.72 and 117,202.56 is: 161,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,828 : 286,830.72 = 117,202.56 : x
  2. Step 2: Convert to fraction form
    207,828/286,830.72 = 117,202.56/x
  3. Step 3: Cross multiply
    207,828x = 286,830.72 × 117,202.56
  4. Step 4: Simplify right side
    207,828x = 33,617,294,670.64
  5. Step 5: Solve for x
    x = 33,617,294,670.64/207,828
  6. Step 6: Final answer
    x = 161,755.37

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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.