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Finding the Fourth Proportional to 208,334.09, 287,524.38 and 117,695.89

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Solution

The fourth proportional to 208,334.09, 287,524.38 and 117,695.89 is: 162,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,334.09 : 287,524.38 = 117,695.89 : x
  2. Step 2: Convert to fraction form
    208,334.09/287,524.38 = 117,695.89/x
  3. Step 3: Cross multiply
    208,334.09x = 287,524.38 × 117,695.89
  4. Step 4: Simplify right side
    208,334.09x = 33,840,437,939.52
  5. Step 5: Solve for x
    x = 33,840,437,939.52/208,334.09
  6. Step 6: Final answer
    x = 162,433.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.