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Finding the Fourth Proportional to 139,842.89, 192,981.44 and 76,179.32

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Solution

The fourth proportional to 139,842.89, 192,981.44 and 76,179.32 is: 105,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,842.89 : 192,981.44 = 76,179.32 : x
  2. Step 2: Convert to fraction form
    139,842.89/192,981.44 = 76,179.32/x
  3. Step 3: Cross multiply
    139,842.89x = 192,981.44 × 76,179.32
  4. Step 4: Simplify right side
    139,842.89x = 14,701,193,526.02
  5. Step 5: Solve for x
    x = 14,701,193,526.02/139,842.89
  6. Step 6: Final answer
    x = 105,126.50

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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.