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Finding the Fourth Proportional to 208,580.40, 287,839.24 and 117,954.18

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Solution

The fourth proportional to 208,580.40, 287,839.24 and 117,954.18 is: 162,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,580.40 : 287,839.24 = 117,954.18 : x
  2. Step 2: Convert to fraction form
    208,580.40/287,839.24 = 117,954.18/x
  3. Step 3: Cross multiply
    208,580.40x = 287,839.24 × 117,954.18
  4. Step 4: Simplify right side
    208,580.40x = 33,951,841,526.02
  5. Step 5: Solve for x
    x = 33,951,841,526.02/208,580.40
  6. Step 6: Final answer
    x = 162,775.80

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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.