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Finding the Fourth Proportional to 208,409.77, 287,601.71 and 117,763.78

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Solution

The fourth proportional to 208,409.77, 287,601.71 and 117,763.78 is: 162,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,409.77 : 287,601.71 = 117,763.78 : x
  2. Step 2: Convert to fraction form
    208,409.77/287,601.71 = 117,763.78/x
  3. Step 3: Cross multiply
    208,409.77x = 287,601.71 × 117,763.78
  4. Step 4: Simplify right side
    208,409.77x = 33,869,064,716.36
  5. Step 5: Solve for x
    x = 33,869,064,716.36/208,409.77
  6. Step 6: Final answer
    x = 162,511.89

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1.5x scale

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.