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Finding the Fourth Proportional to 76,892.21, 106,110.90 and 42,898.67

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Solution

The fourth proportional to 76,892.21, 106,110.90 and 42,898.67 is: 59,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,892.21 : 106,110.90 = 42,898.67 : x
  2. Step 2: Convert to fraction form
    76,892.21/106,110.90 = 42,898.67/x
  3. Step 3: Cross multiply
    76,892.21x = 106,110.90 × 42,898.67
  4. Step 4: Simplify right side
    76,892.21x = 4,552,015,951.95
  5. Step 5: Solve for x
    x = 4,552,015,951.95/76,892.21
  6. Step 6: Final answer
    x = 59,199.97

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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.