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Finding the Fourth Proportional to 102,396.40, 141,313.50 and 62,113.96

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Solution

The fourth proportional to 102,396.40, 141,313.50 and 62,113.96 is: 85,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,396.40 : 141,313.50 = 62,113.96 : x
  2. Step 2: Convert to fraction form
    102,396.40/141,313.50 = 62,113.96/x
  3. Step 3: Cross multiply
    102,396.40x = 141,313.50 × 62,113.96
  4. Step 4: Simplify right side
    102,396.40x = 8,777,541,086.46
  5. Step 5: Solve for x
    x = 8,777,541,086.46/102,396.40
  6. Step 6: Final answer
    x = 85,721.19

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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.