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Finding the Fourth Proportional to 51,723, 77,589 and 14,283.12

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Solution

The fourth proportional to 51,723, 77,589 and 14,283.12 is: 21,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,723 : 77,589 = 14,283.12 : x
  2. Step 2: Convert to fraction form
    51,723/77,589 = 14,283.12/x
  3. Step 3: Cross multiply
    51,723x = 77,589 × 14,283.12
  4. Step 4: Simplify right side
    51,723x = 1,108,212,997.68
  5. Step 5: Solve for x
    x = 1,108,212,997.68/51,723
  6. Step 6: Final answer
    x = 21,425.92

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1.5x scale

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.