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Finding the Fourth Proportional to 208,145, 287,240.10 and 118,721

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Solution

The fourth proportional to 208,145, 287,240.10 and 118,721 is: 163,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,145 : 287,240.10 = 118,721 : x
  2. Step 2: Convert to fraction form
    208,145/287,240.10 = 118,721/x
  3. Step 3: Cross multiply
    208,145x = 287,240.10 × 118,721
  4. Step 4: Simplify right side
    208,145x = 34,101,431,912.10
  5. Step 5: Solve for x
    x = 34,101,431,912.10/208,145
  6. Step 6: Final answer
    x = 163,834.98

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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.