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Finding the Fourth Proportional to 102,192.80, 141,028.80 and 61,898

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Solution

The fourth proportional to 102,192.80, 141,028.80 and 61,898 is: 85,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,192.80 : 141,028.80 = 61,898 : x
  2. Step 2: Convert to fraction form
    102,192.80/141,028.80 = 61,898/x
  3. Step 3: Cross multiply
    102,192.80x = 141,028.80 × 61,898
  4. Step 4: Simplify right side
    102,192.80x = 8,729,400,662.40
  5. Step 5: Solve for x
    x = 8,729,400,662.40/102,192.80
  6. Step 6: Final answer
    x = 85,420.90

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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.