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Finding the Fourth Proportional to 51,658.88, 77,491.20 and 14,720

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Solution

The fourth proportional to 51,658.88, 77,491.20 and 14,720 is: 22,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,658.88 : 77,491.20 = 14,720 : x
  2. Step 2: Convert to fraction form
    51,658.88/77,491.20 = 14,720/x
  3. Step 3: Cross multiply
    51,658.88x = 77,491.20 × 14,720
  4. Step 4: Simplify right side
    51,658.88x = 1,140,670,464
  5. Step 5: Solve for x
    x = 1,140,670,464/51,658.88
  6. Step 6: Final answer
    x = 22,080.82

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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.