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Finding the Fourth Proportional to 208,235, 287,342.24 and 117,585.48

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Solution

The fourth proportional to 208,235, 287,342.24 and 117,585.48 is: 162,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,235 : 287,342.24 = 117,585.48 : x
  2. Step 2: Convert to fraction form
    208,235/287,342.24 = 117,585.48/x
  3. Step 3: Cross multiply
    208,235x = 287,342.24 × 117,585.48
  4. Step 4: Simplify right side
    208,235x = 33,787,275,214.68
  5. Step 5: Solve for x
    x = 33,787,275,214.68/208,235
  6. Step 6: Final answer
    x = 162,255.51

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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.