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Finding the Fourth Proportional to 102,693.45, 141,813.92 and 97,102.20

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Solution

The fourth proportional to 102,693.45, 141,813.92 and 97,102.20 is: 134,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,693.45 : 141,813.92 = 97,102.20 : x
  2. Step 2: Convert to fraction form
    102,693.45/141,813.92 = 97,102.20/x
  3. Step 3: Cross multiply
    102,693.45x = 141,813.92 × 97,102.20
  4. Step 4: Simplify right side
    102,693.45x = 13,770,443,622.62
  5. Step 5: Solve for x
    x = 13,770,443,622.62/102,693.45
  6. Step 6: Final answer
    x = 134,092.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.