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Finding the Fourth Proportional to 51,138.99, 76,706.66 and 17,858.93

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Solution

The fourth proportional to 51,138.99, 76,706.66 and 17,858.93 is: 26,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,138.99 : 76,706.66 = 17,858.93 : x
  2. Step 2: Convert to fraction form
    51,138.99/76,706.66 = 17,858.93/x
  3. Step 3: Cross multiply
    51,138.99x = 76,706.66 × 17,858.93
  4. Step 4: Simplify right side
    51,138.99x = 1,369,898,871.47
  5. Step 5: Solve for x
    x = 1,369,898,871.47/51,138.99
  6. Step 6: Final answer
    x = 26,787.76

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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.