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Finding the Fourth Proportional to 50,485.76, 75,726.72 and 20,896

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Solution

The fourth proportional to 50,485.76, 75,726.72 and 20,896 is: 31,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,485.76 : 75,726.72 = 20,896 : x
  2. Step 2: Convert to fraction form
    50,485.76/75,726.72 = 20,896/x
  3. Step 3: Cross multiply
    50,485.76x = 75,726.72 × 20,896
  4. Step 4: Simplify right side
    50,485.76x = 1,582,385,541.12
  5. Step 5: Solve for x
    x = 1,582,385,541.12/50,485.76
  6. Step 6: Final answer
    x = 31,343.21

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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.