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Finding the Fourth Proportional to 209,301.14, 313,962.60 and 69,070.70

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Solution

The fourth proportional to 209,301.14, 313,962.60 and 69,070.70 is: 103,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,301.14 : 313,962.60 = 69,070.70 : x
  2. Step 2: Convert to fraction form
    209,301.14/313,962.60 = 69,070.70/x
  3. Step 3: Cross multiply
    209,301.14x = 313,962.60 × 69,070.70
  4. Step 4: Simplify right side
    209,301.14x = 21,685,616,555.82
  5. Step 5: Solve for x
    x = 21,685,616,555.82/209,301.14
  6. Step 6: Final answer
    x = 103,609.64

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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.