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Finding the Fourth Proportional to 102,731.02, 141,768.02 and 57,408.48

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Solution

The fourth proportional to 102,731.02, 141,768.02 and 57,408.48 is: 79,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,731.02 : 141,768.02 = 57,408.48 : x
  2. Step 2: Convert to fraction form
    102,731.02/141,768.02 = 57,408.48/x
  3. Step 3: Cross multiply
    102,731.02x = 141,768.02 × 57,408.48
  4. Step 4: Simplify right side
    102,731.02x = 8,138,686,684.33
  5. Step 5: Solve for x
    x = 8,138,686,684.33/102,731.02
  6. Step 6: Final answer
    x = 79,223.27

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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.