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Finding the Fourth Proportional to 209,986.70, 314,980.05 and 76,822.70

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Solution

The fourth proportional to 209,986.70, 314,980.05 and 76,822.70 is: 115,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,986.70 : 314,980.05 = 76,822.70 : x
  2. Step 2: Convert to fraction form
    209,986.70/314,980.05 = 76,822.70/x
  3. Step 3: Cross multiply
    209,986.70x = 314,980.05 × 76,822.70
  4. Step 4: Simplify right side
    209,986.70x = 24,197,617,887.14
  5. Step 5: Solve for x
    x = 24,197,617,887.14/209,986.70
  6. Step 6: Final answer
    x = 115,234.05

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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.