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Finding the Fourth Proportional to 51,318, 76,981.32 and 14,382

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Solution

The fourth proportional to 51,318, 76,981.32 and 14,382 is: 21,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,318 : 76,981.32 = 14,382 : x
  2. Step 2: Convert to fraction form
    51,318/76,981.32 = 14,382/x
  3. Step 3: Cross multiply
    51,318x = 76,981.32 × 14,382
  4. Step 4: Simplify right side
    51,318x = 1,107,145,344.24
  5. Step 5: Solve for x
    x = 1,107,145,344.24/51,318
  6. Step 6: Final answer
    x = 21,574.21

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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.