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Finding the Fourth Proportional to 92,019.92, 138,030.10 and 27,978.62

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Solution

The fourth proportional to 92,019.92, 138,030.10 and 27,978.62 is: 41,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,019.92 : 138,030.10 = 27,978.62 : x
  2. Step 2: Convert to fraction form
    92,019.92/138,030.10 = 27,978.62/x
  3. Step 3: Cross multiply
    92,019.92x = 138,030.10 × 27,978.62
  4. Step 4: Simplify right side
    92,019.92x = 3,861,890,956.36
  5. Step 5: Solve for x
    x = 3,861,890,956.36/92,019.92
  6. Step 6: Final answer
    x = 41,967.99

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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.