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Finding the Fourth Proportional to 139,762.48, 192,869.70 and 76,099.24

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Solution

The fourth proportional to 139,762.48, 192,869.70 and 76,099.24 is: 105,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,762.48 : 192,869.70 = 76,099.24 : x
  2. Step 2: Convert to fraction form
    139,762.48/192,869.70 = 76,099.24/x
  3. Step 3: Cross multiply
    139,762.48x = 192,869.70 × 76,099.24
  4. Step 4: Simplify right side
    139,762.48x = 14,677,237,589.03
  5. Step 5: Solve for x
    x = 14,677,237,589.03/139,762.48
  6. Step 6: Final answer
    x = 105,015.58

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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.