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Finding the Fourth Proportional to 67,004.84, 100,521.84 and 20,256.50

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Solution

The fourth proportional to 67,004.84, 100,521.84 and 20,256.50 is: 30,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,004.84 : 100,521.84 = 20,256.50 : x
  2. Step 2: Convert to fraction form
    67,004.84/100,521.84 = 20,256.50/x
  3. Step 3: Cross multiply
    67,004.84x = 100,521.84 × 20,256.50
  4. Step 4: Simplify right side
    67,004.84x = 2,036,220,651.96
  5. Step 5: Solve for x
    x = 2,036,220,651.96/67,004.84
  6. Step 6: Final answer
    x = 30,389.16

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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.