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Finding the Fourth Proportional to 72,509.40, 108,769.26 and 30,347.01

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Solution

The fourth proportional to 72,509.40, 108,769.26 and 30,347.01 is: 45,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,509.40 : 108,769.26 = 30,347.01 : x
  2. Step 2: Convert to fraction form
    72,509.40/108,769.26 = 30,347.01/x
  3. Step 3: Cross multiply
    72,509.40x = 108,769.26 × 30,347.01
  4. Step 4: Simplify right side
    72,509.40x = 3,300,821,820.91
  5. Step 5: Solve for x
    x = 3,300,821,820.91/72,509.40
  6. Step 6: Final answer
    x = 45,522.67

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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.