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Finding the Fourth Proportional to 208,436.81, 287,531.84 and 126,790.03

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Solution

The fourth proportional to 208,436.81, 287,531.84 and 126,790.03 is: 174,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,436.81 : 287,531.84 = 126,790.03 : x
  2. Step 2: Convert to fraction form
    208,436.81/287,531.84 = 126,790.03/x
  3. Step 3: Cross multiply
    208,436.81x = 287,531.84 × 126,790.03
  4. Step 4: Simplify right side
    208,436.81x = 36,456,169,678.58
  5. Step 5: Solve for x
    x = 36,456,169,678.58/208,436.81
  6. Step 6: Final answer
    x = 174,902.74

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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.