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Finding the Fourth Proportional to 30,332.70, 45,389.70 and 20,491.20

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Solution

The fourth proportional to 30,332.70, 45,389.70 and 20,491.20 is: 30,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,332.70 : 45,389.70 = 20,491.20 : x
  2. Step 2: Convert to fraction form
    30,332.70/45,389.70 = 20,491.20/x
  3. Step 3: Cross multiply
    30,332.70x = 45,389.70 × 20,491.20
  4. Step 4: Simplify right side
    30,332.70x = 930,089,420.64
  5. Step 5: Solve for x
    x = 930,089,420.64/30,332.70
  6. Step 6: Final answer
    x = 30,662.93

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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.