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Finding the Fourth Proportional to 51,393.84, 77,123.57 and 19,829.36

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Solution

The fourth proportional to 51,393.84, 77,123.57 and 19,829.36 is: 29,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,393.84 : 77,123.57 = 19,829.36 : x
  2. Step 2: Convert to fraction form
    51,393.84/77,123.57 = 19,829.36/x
  3. Step 3: Cross multiply
    51,393.84x = 77,123.57 × 19,829.36
  4. Step 4: Simplify right side
    51,393.84x = 1,529,310,749.63
  5. Step 5: Solve for x
    x = 1,529,310,749.63/51,393.84
  6. Step 6: Final answer
    x = 29,756.69

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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.