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Finding the Fourth Proportional to 50,940, 70,303.68 and 28,584

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Solution

The fourth proportional to 50,940, 70,303.68 and 28,584 is: 39,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,940 : 70,303.68 = 28,584 : x
  2. Step 2: Convert to fraction form
    50,940/70,303.68 = 28,584/x
  3. Step 3: Cross multiply
    50,940x = 70,303.68 × 28,584
  4. Step 4: Simplify right side
    50,940x = 2,009,560,389.12
  5. Step 5: Solve for x
    x = 2,009,560,389.12/50,940
  6. Step 6: Final answer
    x = 39,449.56

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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.