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Finding the Fourth Proportional to 50,643.60, 75,904.65 and 21,046.20

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Solution

The fourth proportional to 50,643.60, 75,904.65 and 21,046.20 is: 31,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.60 : 75,904.65 = 21,046.20 : x
  2. Step 2: Convert to fraction form
    50,643.60/75,904.65 = 21,046.20/x
  3. Step 3: Cross multiply
    50,643.60x = 75,904.65 × 21,046.20
  4. Step 4: Simplify right side
    50,643.60x = 1,597,504,444.83
  5. Step 5: Solve for x
    x = 1,597,504,444.83/50,643.60
  6. Step 6: Final answer
    x = 31,544.05

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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.