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Finding the Fourth Proportional to 208,268.56, 287,410.80 and 112,775.41

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Solution

The fourth proportional to 208,268.56, 287,410.80 and 112,775.41 is: 155,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,268.56 : 287,410.80 = 112,775.41 : x
  2. Step 2: Convert to fraction form
    208,268.56/287,410.80 = 112,775.41/x
  3. Step 3: Cross multiply
    208,268.56x = 287,410.80 × 112,775.41
  4. Step 4: Simplify right side
    208,268.56x = 32,412,870,808.43
  5. Step 5: Solve for x
    x = 32,412,870,808.43/208,268.56
  6. Step 6: Final answer
    x = 155,630.17

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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.