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Finding the Fourth Proportional to 208,289.68, 287,439.76 and 112,796.37

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Solution

The fourth proportional to 208,289.68, 287,439.76 and 112,796.37 is: 155,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,289.68 : 287,439.76 = 112,796.37 : x
  2. Step 2: Convert to fraction form
    208,289.68/287,439.76 = 112,796.37/x
  3. Step 3: Cross multiply
    208,289.68x = 287,439.76 × 112,796.37
  4. Step 4: Simplify right side
    208,289.68x = 32,422,162,788.33
  5. Step 5: Solve for x
    x = 32,422,162,788.33/208,289.68
  6. Step 6: Final answer
    x = 155,659.00

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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.