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Finding the Fourth Proportional to 51,212.80, 76,838.40 and 20,070.40

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Solution

The fourth proportional to 51,212.80, 76,838.40 and 20,070.40 is: 30,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,212.80 : 76,838.40 = 20,070.40 : x
  2. Step 2: Convert to fraction form
    51,212.80/76,838.40 = 20,070.40/x
  3. Step 3: Cross multiply
    51,212.80x = 76,838.40 × 20,070.40
  4. Step 4: Simplify right side
    51,212.80x = 1,542,177,423.36
  5. Step 5: Solve for x
    x = 1,542,177,423.36/51,212.80
  6. Step 6: Final answer
    x = 30,113.12

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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.