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Finding the Fourth Proportional to 86,784.87, 119,728.90 and 54,500.50

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Solution

The fourth proportional to 86,784.87, 119,728.90 and 54,500.50 is: 75,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,784.87 : 119,728.90 = 54,500.50 : x
  2. Step 2: Convert to fraction form
    86,784.87/119,728.90 = 54,500.50/x
  3. Step 3: Cross multiply
    86,784.87x = 119,728.90 × 54,500.50
  4. Step 4: Simplify right side
    86,784.87x = 6,525,284,914.45
  5. Step 5: Solve for x
    x = 6,525,284,914.45/86,784.87
  6. Step 6: Final answer
    x = 75,189.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.