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Finding the Fourth Proportional to 67,130.72, 100,696.40 and 20,384

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Solution

The fourth proportional to 67,130.72, 100,696.40 and 20,384 is: 30,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,130.72 : 100,696.40 = 20,384 : x
  2. Step 2: Convert to fraction form
    67,130.72/100,696.40 = 20,384/x
  3. Step 3: Cross multiply
    67,130.72x = 100,696.40 × 20,384
  4. Step 4: Simplify right side
    67,130.72x = 2,052,595,417.60
  5. Step 5: Solve for x
    x = 2,052,595,417.60/67,130.72
  6. Step 6: Final answer
    x = 30,576.10

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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.