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Finding the Fourth Proportional to 52,289.88, 78,410.22 and 18,986.40

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Solution

The fourth proportional to 52,289.88, 78,410.22 and 18,986.40 is: 28,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,289.88 : 78,410.22 = 18,986.40 : x
  2. Step 2: Convert to fraction form
    52,289.88/78,410.22 = 18,986.40/x
  3. Step 3: Cross multiply
    52,289.88x = 78,410.22 × 18,986.40
  4. Step 4: Simplify right side
    52,289.88x = 1,488,727,801.01
  5. Step 5: Solve for x
    x = 1,488,727,801.01/52,289.88
  6. Step 6: Final answer
    x = 28,470.67

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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.