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Finding the Fourth Proportional to 209,891.95, 314,884.70 and 76,769.26

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Solution

The fourth proportional to 209,891.95, 314,884.70 and 76,769.26 is: 115,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,891.95 : 314,884.70 = 76,769.26 : x
  2. Step 2: Convert to fraction form
    209,891.95/314,884.70 = 76,769.26/x
  3. Step 3: Cross multiply
    209,891.95x = 314,884.70 × 76,769.26
  4. Step 4: Simplify right side
    209,891.95x = 24,173,465,404.32
  5. Step 5: Solve for x
    x = 24,173,465,404.32/209,891.95
  6. Step 6: Final answer
    x = 115,171.00

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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.