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Finding the Fourth Proportional to 208,283.40, 287,427.69 and 112,789.26

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Solution

The fourth proportional to 208,283.40, 287,427.69 and 112,789.26 is: 155,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,283.40 : 287,427.69 = 112,789.26 : x
  2. Step 2: Convert to fraction form
    208,283.40/287,427.69 = 112,789.26/x
  3. Step 3: Cross multiply
    208,283.40x = 287,427.69 × 112,789.26
  4. Step 4: Simplify right side
    208,283.40x = 32,418,756,458.61
  5. Step 5: Solve for x
    x = 32,418,756,458.61/208,283.40
  6. Step 6: Final answer
    x = 155,647.34

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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.