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Finding the Fourth Proportional to 208,412.93, 287,606.07 and 117,766.95

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Solution

The fourth proportional to 208,412.93, 287,606.07 and 117,766.95 is: 162,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412.93 : 287,606.07 = 117,766.95 : x
  2. Step 2: Convert to fraction form
    208,412.93/287,606.07 = 117,766.95/x
  3. Step 3: Cross multiply
    208,412.93x = 287,606.07 × 117,766.95
  4. Step 4: Simplify right side
    208,412.93x = 33,870,489,665.39
  5. Step 5: Solve for x
    x = 33,870,489,665.39/208,412.93
  6. Step 6: Final answer
    x = 162,516.26

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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.