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Finding the Fourth Proportional to 208,073.90, 287,142.98 and 117,433.69

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Solution

The fourth proportional to 208,073.90, 287,142.98 and 117,433.69 is: 162,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,073.90 : 287,142.98 = 117,433.69 : x
  2. Step 2: Convert to fraction form
    208,073.90/287,142.98 = 117,433.69/x
  3. Step 3: Cross multiply
    208,073.90x = 287,142.98 × 117,433.69
  4. Step 4: Simplify right side
    208,073.90x = 33,720,258,393.97
  5. Step 5: Solve for x
    x = 33,720,258,393.97/208,073.90
  6. Step 6: Final answer
    x = 162,059.05

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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.