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Finding the Fourth Proportional to 139,491.10, 192,495.45 and 75,830.50

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Solution

The fourth proportional to 139,491.10, 192,495.45 and 75,830.50 is: 104,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,491.10 : 192,495.45 = 75,830.50 : x
  2. Step 2: Convert to fraction form
    139,491.10/192,495.45 = 75,830.50/x
  3. Step 3: Cross multiply
    139,491.10x = 192,495.45 × 75,830.50
  4. Step 4: Simplify right side
    139,491.10x = 14,597,026,221.23
  5. Step 5: Solve for x
    x = 14,597,026,221.23/139,491.10
  6. Step 6: Final answer
    x = 104,644.86

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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.