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Finding the Fourth Proportional to 102,900.32, 141,922.32 and 68,898

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Solution

The fourth proportional to 102,900.32, 141,922.32 and 68,898 is: 95,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,900.32 : 141,922.32 = 68,898 : x
  2. Step 2: Convert to fraction form
    102,900.32/141,922.32 = 68,898/x
  3. Step 3: Cross multiply
    102,900.32x = 141,922.32 × 68,898
  4. Step 4: Simplify right side
    102,900.32x = 9,778,164,003.36
  5. Step 5: Solve for x
    x = 9,778,164,003.36/102,900.32
  6. Step 6: Final answer
    x = 95,025.59

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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.