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Finding the Fourth Proportional to 51,806.49, 77,709.93 and 14,369.49

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Solution

The fourth proportional to 51,806.49, 77,709.93 and 14,369.49 is: 21,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.49 : 77,709.93 = 14,369.49 : x
  2. Step 2: Convert to fraction form
    51,806.49/77,709.93 = 14,369.49/x
  3. Step 3: Cross multiply
    51,806.49x = 77,709.93 × 14,369.49
  4. Step 4: Simplify right side
    51,806.49x = 1,116,652,062.04
  5. Step 5: Solve for x
    x = 1,116,652,062.04/51,806.49
  6. Step 6: Final answer
    x = 21,554.29

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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.