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Finding the Fourth Proportional to 67,984, 93,817.92 and 38,176

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Solution

The fourth proportional to 67,984, 93,817.92 and 38,176 is: 52,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,984 : 93,817.92 = 38,176 : x
  2. Step 2: Convert to fraction form
    67,984/93,817.92 = 38,176/x
  3. Step 3: Cross multiply
    67,984x = 93,817.92 × 38,176
  4. Step 4: Simplify right side
    67,984x = 3,581,592,913.92
  5. Step 5: Solve for x
    x = 3,581,592,913.92/67,984
  6. Step 6: Final answer
    x = 52,682.88

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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.