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Finding the Fourth Proportional to 50,984, 76,461.40 and 21,408.48

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Solution

The fourth proportional to 50,984, 76,461.40 and 21,408.48 is: 32,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,984 : 76,461.40 = 21,408.48 : x
  2. Step 2: Convert to fraction form
    50,984/76,461.40 = 21,408.48/x
  3. Step 3: Cross multiply
    50,984x = 76,461.40 × 21,408.48
  4. Step 4: Simplify right side
    50,984x = 1,636,922,352.67
  5. Step 5: Solve for x
    x = 1,636,922,352.67/50,984
  6. Step 6: Final answer
    x = 32,106.59

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1.5x scale

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.