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Finding the Fourth Proportional to 102,396.76, 141,290.36 and 57,064.80

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Solution

The fourth proportional to 102,396.76, 141,290.36 and 57,064.80 is: 78,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,396.76 : 141,290.36 = 57,064.80 : x
  2. Step 2: Convert to fraction form
    102,396.76/141,290.36 = 57,064.80/x
  3. Step 3: Cross multiply
    102,396.76x = 141,290.36 × 57,064.80
  4. Step 4: Simplify right side
    102,396.76x = 8,062,706,135.33
  5. Step 5: Solve for x
    x = 8,062,706,135.33/102,396.76
  6. Step 6: Final answer
    x = 78,739.86

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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.