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Finding the Fourth Proportional to 102,449, 141,369.24 and 57,122.68

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Solution

The fourth proportional to 102,449, 141,369.24 and 57,122.68 is: 78,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449 : 141,369.24 = 57,122.68 : x
  2. Step 2: Convert to fraction form
    102,449/141,369.24 = 57,122.68/x
  3. Step 3: Cross multiply
    102,449x = 141,369.24 × 57,122.68
  4. Step 4: Simplify right side
    102,449x = 8,075,389,858.36
  5. Step 5: Solve for x
    x = 8,075,389,858.36/102,449
  6. Step 6: Final answer
    x = 78,823.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.