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Finding the Fourth Proportional to 50,507.55, 75,762.54 and 20,905.29

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Solution

The fourth proportional to 50,507.55, 75,762.54 and 20,905.29 is: 31,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,507.55 : 75,762.54 = 20,905.29 : x
  2. Step 2: Convert to fraction form
    50,507.55/75,762.54 = 20,905.29/x
  3. Step 3: Cross multiply
    50,507.55x = 75,762.54 × 20,905.29
  4. Step 4: Simplify right side
    50,507.55x = 1,583,837,869.84
  5. Step 5: Solve for x
    x = 1,583,837,869.84/50,507.55
  6. Step 6: Final answer
    x = 31,358.44

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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.