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Finding the Fourth Proportional to 51,428.88, 77,148 and 20,256.96

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Solution

The fourth proportional to 51,428.88, 77,148 and 20,256.96 is: 30,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428.88 : 77,148 = 20,256.96 : x
  2. Step 2: Convert to fraction form
    51,428.88/77,148 = 20,256.96/x
  3. Step 3: Cross multiply
    51,428.88x = 77,148 × 20,256.96
  4. Step 4: Simplify right side
    51,428.88x = 1,562,783,950.08
  5. Step 5: Solve for x
    x = 1,562,783,950.08/51,428.88
  6. Step 6: Final answer
    x = 30,387.28

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Why These Related Problems?

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