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Finding the Fourth Proportional to 208,185, 287,295.30 and 118,761

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Solution

The fourth proportional to 208,185, 287,295.30 and 118,761 is: 163,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,185 : 287,295.30 = 118,761 : x
  2. Step 2: Convert to fraction form
    208,185/287,295.30 = 118,761/x
  3. Step 3: Cross multiply
    208,185x = 287,295.30 × 118,761
  4. Step 4: Simplify right side
    208,185x = 34,119,477,123.30
  5. Step 5: Solve for x
    x = 34,119,477,123.30/208,185
  6. Step 6: Final answer
    x = 163,890.18

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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.