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Finding the Fourth Proportional to 208,370.85, 287,552.64 and 112,877.54

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Solution

The fourth proportional to 208,370.85, 287,552.64 and 112,877.54 is: 155,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,370.85 : 287,552.64 = 112,877.54 : x
  2. Step 2: Convert to fraction form
    208,370.85/287,552.64 = 112,877.54/x
  3. Step 3: Cross multiply
    208,370.85x = 287,552.64 × 112,877.54
  4. Step 4: Simplify right side
    208,370.85x = 32,458,233,185.94
  5. Step 5: Solve for x
    x = 32,458,233,185.94/208,370.85
  6. Step 6: Final answer
    x = 155,771.47

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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.