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Finding the Fourth Proportional to 51,252, 76,890.96 and 14,316

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Solution

The fourth proportional to 51,252, 76,890.96 and 14,316 is: 21,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,252 : 76,890.96 = 14,316 : x
  2. Step 2: Convert to fraction form
    51,252/76,890.96 = 14,316/x
  3. Step 3: Cross multiply
    51,252x = 76,890.96 × 14,316
  4. Step 4: Simplify right side
    51,252x = 1,100,770,983.36
  5. Step 5: Solve for x
    x = 1,100,770,983.36/51,252
  6. Step 6: Final answer
    x = 21,477.62

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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.