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Finding the Fourth Proportional to 51,819.98, 77,730.17 and 14,382.99

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Solution

The fourth proportional to 51,819.98, 77,730.17 and 14,382.99 is: 21,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819.98 : 77,730.17 = 14,382.99 : x
  2. Step 2: Convert to fraction form
    51,819.98/77,730.17 = 14,382.99/x
  3. Step 3: Cross multiply
    51,819.98x = 77,730.17 × 14,382.99
  4. Step 4: Simplify right side
    51,819.98x = 1,117,992,185.89
  5. Step 5: Solve for x
    x = 1,117,992,185.89/51,819.98
  6. Step 6: Final answer
    x = 21,574.54

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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.