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Finding the Fourth Proportional to 30,892.66, 46,342.23 and 10,117.78

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Solution

The fourth proportional to 30,892.66, 46,342.23 and 10,117.78 is: 15,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.66 : 46,342.23 = 10,117.78 : x
  2. Step 2: Convert to fraction form
    30,892.66/46,342.23 = 10,117.78/x
  3. Step 3: Cross multiply
    30,892.66x = 46,342.23 × 10,117.78
  4. Step 4: Simplify right side
    30,892.66x = 468,880,487.85
  5. Step 5: Solve for x
    x = 468,880,487.85/30,892.66
  6. Step 6: Final answer
    x = 15,177.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.