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Finding the Fourth Proportional to 208,505, 287,735.28 and 113,009.24

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Solution

The fourth proportional to 208,505, 287,735.28 and 113,009.24 is: 155,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,505 : 287,735.28 = 113,009.24 : x
  2. Step 2: Convert to fraction form
    208,505/287,735.28 = 113,009.24/x
  3. Step 3: Cross multiply
    208,505x = 287,735.28 × 113,009.24
  4. Step 4: Simplify right side
    208,505x = 32,516,745,313.99
  5. Step 5: Solve for x
    x = 32,516,745,313.99/208,505
  6. Step 6: Final answer
    x = 155,951.87

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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.