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Finding the Fourth Proportional to 72,769, 109,188.06 and 23,521

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Solution

The fourth proportional to 72,769, 109,188.06 and 23,521 is: 35,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,769 : 109,188.06 = 23,521 : x
  2. Step 2: Convert to fraction form
    72,769/109,188.06 = 23,521/x
  3. Step 3: Cross multiply
    72,769x = 109,188.06 × 23,521
  4. Step 4: Simplify right side
    72,769x = 2,568,212,359.26
  5. Step 5: Solve for x
    x = 2,568,212,359.26/72,769
  6. Step 6: Final answer
    x = 35,292.67

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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.