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Finding the Fourth Proportional to 102,089, 140,882.82 and 57,377

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Solution

The fourth proportional to 102,089, 140,882.82 and 57,377 is: 79,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089 : 140,882.82 = 57,377 : x
  2. Step 2: Convert to fraction form
    102,089/140,882.82 = 57,377/x
  3. Step 3: Cross multiply
    102,089x = 140,882.82 × 57,377
  4. Step 4: Simplify right side
    102,089x = 8,083,433,563.14
  5. Step 5: Solve for x
    x = 8,083,433,563.14/102,089
  6. Step 6: Final answer
    x = 79,180.26

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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.