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Finding the Fourth Proportional to 209,911.70, 314,867.55 and 76,796.30

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Solution

The fourth proportional to 209,911.70, 314,867.55 and 76,796.30 is: 115,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,911.70 : 314,867.55 = 76,796.30 : x
  2. Step 2: Convert to fraction form
    209,911.70/314,867.55 = 76,796.30/x
  3. Step 3: Cross multiply
    209,911.70x = 314,867.55 × 76,796.30
  4. Step 4: Simplify right side
    209,911.70x = 24,180,662,830.07
  5. Step 5: Solve for x
    x = 24,180,662,830.07/209,911.70
  6. Step 6: Final answer
    x = 115,194.45

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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.