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Finding the Fourth Proportional to 208,224, 287,327.07 and 117,574.47

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Solution

The fourth proportional to 208,224, 287,327.07 and 117,574.47 is: 162,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,224 : 287,327.07 = 117,574.47 : x
  2. Step 2: Convert to fraction form
    208,224/287,327.07 = 117,574.47/x
  3. Step 3: Cross multiply
    208,224x = 287,327.07 × 117,574.47
  4. Step 4: Simplify right side
    208,224x = 33,782,327,971.90
  5. Step 5: Solve for x
    x = 33,782,327,971.90/208,224
  6. Step 6: Final answer
    x = 162,240.32

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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.