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Finding the Fourth Proportional to 209,355.86, 313,783.62 and 76,080.08

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Solution

The fourth proportional to 209,355.86, 313,783.62 and 76,080.08 is: 114,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,355.86 : 313,783.62 = 76,080.08 : x
  2. Step 2: Convert to fraction form
    209,355.86/313,783.62 = 76,080.08/x
  3. Step 3: Cross multiply
    209,355.86x = 313,783.62 × 76,080.08
  4. Step 4: Simplify right side
    209,355.86x = 23,872,681,343.37
  5. Step 5: Solve for x
    x = 23,872,681,343.37/209,355.86
  6. Step 6: Final answer
    x = 114,029.20

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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.