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Finding the Fourth Proportional to 209,603.14, 289,203.15 and 118,938.58

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Solution

The fourth proportional to 209,603.14, 289,203.15 and 118,938.58 is: 164,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,603.14 : 289,203.15 = 118,938.58 : x
  2. Step 2: Convert to fraction form
    209,603.14/289,203.15 = 118,938.58/x
  3. Step 3: Cross multiply
    209,603.14x = 289,203.15 × 118,938.58
  4. Step 4: Simplify right side
    209,603.14x = 34,397,411,992.53
  5. Step 5: Solve for x
    x = 34,397,411,992.53/209,603.14
  6. Step 6: Final answer
    x = 164,107.33

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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.