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Finding the Fourth Proportional to 51,219, 76,841.46 and 14,283

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Solution

The fourth proportional to 51,219, 76,841.46 and 14,283 is: 21,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,219 : 76,841.46 = 14,283 : x
  2. Step 2: Convert to fraction form
    51,219/76,841.46 = 14,283/x
  3. Step 3: Cross multiply
    51,219x = 76,841.46 × 14,283
  4. Step 4: Simplify right side
    51,219x = 1,097,526,573.18
  5. Step 5: Solve for x
    x = 1,097,526,573.18/51,219
  6. Step 6: Final answer
    x = 21,428.11

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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.