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Finding the Fourth Proportional to 50,706, 76,059.30 and 13,770

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Solution

The fourth proportional to 50,706, 76,059.30 and 13,770 is: 20,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,706 : 76,059.30 = 13,770 : x
  2. Step 2: Convert to fraction form
    50,706/76,059.30 = 13,770/x
  3. Step 3: Cross multiply
    50,706x = 76,059.30 × 13,770
  4. Step 4: Simplify right side
    50,706x = 1,047,336,561
  5. Step 5: Solve for x
    x = 1,047,336,561/50,706
  6. Step 6: Final answer
    x = 20,655.08

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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.