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Finding the Fourth Proportional to 51,220, 76,842.96 and 14,284

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Solution

The fourth proportional to 51,220, 76,842.96 and 14,284 is: 21,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,220 : 76,842.96 = 14,284 : x
  2. Step 2: Convert to fraction form
    51,220/76,842.96 = 14,284/x
  3. Step 3: Cross multiply
    51,220x = 76,842.96 × 14,284
  4. Step 4: Simplify right side
    51,220x = 1,097,624,840.64
  5. Step 5: Solve for x
    x = 1,097,624,840.64/51,220
  6. Step 6: Final answer
    x = 21,429.61

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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.