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Finding the Fourth Proportional to 209,114.21, 313,495 and 90,696.40

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Solution

The fourth proportional to 209,114.21, 313,495 and 90,696.40 is: 135,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,114.21 : 313,495 = 90,696.40 : x
  2. Step 2: Convert to fraction form
    209,114.21/313,495 = 90,696.40/x
  3. Step 3: Cross multiply
    209,114.21x = 313,495 × 90,696.40
  4. Step 4: Simplify right side
    209,114.21x = 28,432,867,918
  5. Step 5: Solve for x
    x = 28,432,867,918/209,114.21
  6. Step 6: Final answer
    x = 135,968.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.