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Finding the Fourth Proportional to 102,388, 141,297.60 and 57,676

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Solution

The fourth proportional to 102,388, 141,297.60 and 57,676 is: 79,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,388 : 141,297.60 = 57,676 : x
  2. Step 2: Convert to fraction form
    102,388/141,297.60 = 57,676/x
  3. Step 3: Cross multiply
    102,388x = 141,297.60 × 57,676
  4. Step 4: Simplify right side
    102,388x = 8,149,480,377.60
  5. Step 5: Solve for x
    x = 8,149,480,377.60/102,388
  6. Step 6: Final answer
    x = 79,594.10

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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.