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Finding the Fourth Proportional to 50,309.76, 69,459.92 and 31,209.92

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Solution

The fourth proportional to 50,309.76, 69,459.92 and 31,209.92 is: 43,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,309.76 : 69,459.92 = 31,209.92 : x
  2. Step 2: Convert to fraction form
    50,309.76/69,459.92 = 31,209.92/x
  3. Step 3: Cross multiply
    50,309.76x = 69,459.92 × 31,209.92
  4. Step 4: Simplify right side
    50,309.76x = 2,167,838,546.41
  5. Step 5: Solve for x
    x = 2,167,838,546.41/50,309.76
  6. Step 6: Final answer
    x = 43,089.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.