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Finding the Fourth Proportional to 208,404, 287,597.64 and 112,911.36

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Solution

The fourth proportional to 208,404, 287,597.64 and 112,911.36 is: 155,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,404 : 287,597.64 = 112,911.36 : x
  2. Step 2: Convert to fraction form
    208,404/287,597.64 = 112,911.36/x
  3. Step 3: Cross multiply
    208,404x = 287,597.64 × 112,911.36
  4. Step 4: Simplify right side
    208,404x = 32,473,040,665.19
  5. Step 5: Solve for x
    x = 32,473,040,665.19/208,404
  6. Step 6: Final answer
    x = 155,817.74

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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.