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Finding the Fourth Proportional to 71,039.79, 106,576.35 and 21,120.30

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Solution

The fourth proportional to 71,039.79, 106,576.35 and 21,120.30 is: 31,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,039.79 : 106,576.35 = 21,120.30 : x
  2. Step 2: Convert to fraction form
    71,039.79/106,576.35 = 21,120.30/x
  3. Step 3: Cross multiply
    71,039.79x = 106,576.35 × 21,120.30
  4. Step 4: Simplify right side
    71,039.79x = 2,250,924,484.91
  5. Step 5: Solve for x
    x = 2,250,924,484.91/71,039.79
  6. Step 6: Final answer
    x = 31,685.40

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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.