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Finding the Fourth Proportional to 51,705.84, 77,559 and 20,541

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Solution

The fourth proportional to 51,705.84, 77,559 and 20,541 is: 30,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705.84 : 77,559 = 20,541 : x
  2. Step 2: Convert to fraction form
    51,705.84/77,559 = 20,541/x
  3. Step 3: Cross multiply
    51,705.84x = 77,559 × 20,541
  4. Step 4: Simplify right side
    51,705.84x = 1,593,139,419
  5. Step 5: Solve for x
    x = 1,593,139,419/51,705.84
  6. Step 6: Final answer
    x = 30,811.60

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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.