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Finding the Fourth Proportional to 79,709.50, 119,580 and 22,783.90

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Solution

The fourth proportional to 79,709.50, 119,580 and 22,783.90 is: 34,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,709.50 : 119,580 = 22,783.90 : x
  2. Step 2: Convert to fraction form
    79,709.50/119,580 = 22,783.90/x
  3. Step 3: Cross multiply
    79,709.50x = 119,580 × 22,783.90
  4. Step 4: Simplify right side
    79,709.50x = 2,724,498,762
  5. Step 5: Solve for x
    x = 2,724,498,762/79,709.50
  6. Step 6: Final answer
    x = 34,180.35

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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.