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Finding the Fourth Proportional to 51,093.60, 76,635.84 and 17,808

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Solution

The fourth proportional to 51,093.60, 76,635.84 and 17,808 is: 26,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,093.60 : 76,635.84 = 17,808 : x
  2. Step 2: Convert to fraction form
    51,093.60/76,635.84 = 17,808/x
  3. Step 3: Cross multiply
    51,093.60x = 76,635.84 × 17,808
  4. Step 4: Simplify right side
    51,093.60x = 1,364,731,038.72
  5. Step 5: Solve for x
    x = 1,364,731,038.72/51,093.60
  6. Step 6: Final answer
    x = 26,710.41

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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.