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Finding the Fourth Proportional to 50,904.84, 76,387.14 and 21,320.40

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Solution

The fourth proportional to 50,904.84, 76,387.14 and 21,320.40 is: 31,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,904.84 : 76,387.14 = 21,320.40 : x
  2. Step 2: Convert to fraction form
    50,904.84/76,387.14 = 21,320.40/x
  3. Step 3: Cross multiply
    50,904.84x = 76,387.14 × 21,320.40
  4. Step 4: Simplify right side
    50,904.84x = 1,628,604,379.66
  5. Step 5: Solve for x
    x = 1,628,604,379.66/50,904.84
  6. Step 6: Final answer
    x = 31,993.11

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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.