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Finding the Fourth Proportional to 51,707.84, 77,562 and 20,543

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Solution

The fourth proportional to 51,707.84, 77,562 and 20,543 is: 30,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,707.84 : 77,562 = 20,543 : x
  2. Step 2: Convert to fraction form
    51,707.84/77,562 = 20,543/x
  3. Step 3: Cross multiply
    51,707.84x = 77,562 × 20,543
  4. Step 4: Simplify right side
    51,707.84x = 1,593,356,166
  5. Step 5: Solve for x
    x = 1,593,356,166/51,707.84
  6. Step 6: Final answer
    x = 30,814.60

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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.