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Finding the Fourth Proportional to 51,105, 76,657.50 and 14,169

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Solution

The fourth proportional to 51,105, 76,657.50 and 14,169 is: 21,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105 : 76,657.50 = 14,169 : x
  2. Step 2: Convert to fraction form
    51,105/76,657.50 = 14,169/x
  3. Step 3: Cross multiply
    51,105x = 76,657.50 × 14,169
  4. Step 4: Simplify right side
    51,105x = 1,086,160,117.50
  5. Step 5: Solve for x
    x = 1,086,160,117.50/51,105
  6. Step 6: Final answer
    x = 21,253.50

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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.