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Finding the Fourth Proportional to 50,430.40, 75,645.60 and 20,905.90

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Solution

The fourth proportional to 50,430.40, 75,645.60 and 20,905.90 is: 31,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,430.40 : 75,645.60 = 20,905.90 : x
  2. Step 2: Convert to fraction form
    50,430.40/75,645.60 = 20,905.90/x
  3. Step 3: Cross multiply
    50,430.40x = 75,645.60 × 20,905.90
  4. Step 4: Simplify right side
    50,430.40x = 1,581,439,349.04
  5. Step 5: Solve for x
    x = 1,581,439,349.04/50,430.40
  6. Step 6: Final answer
    x = 31,358.85

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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.