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Finding the Fourth Proportional to 208,260, 287,450.64 and 118,887.84

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Solution

The fourth proportional to 208,260, 287,450.64 and 118,887.84 is: 164,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,260 : 287,450.64 = 118,887.84 : x
  2. Step 2: Convert to fraction form
    208,260/287,450.64 = 118,887.84/x
  3. Step 3: Cross multiply
    208,260x = 287,450.64 × 118,887.84
  4. Step 4: Simplify right side
    208,260x = 34,174,385,696.22
  5. Step 5: Solve for x
    x = 34,174,385,696.22/208,260
  6. Step 6: Final answer
    x = 164,094.81

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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.