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Finding the Fourth Proportional to 139,495.80, 192,506.10 and 75,834.96

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Solution

The fourth proportional to 139,495.80, 192,506.10 and 75,834.96 is: 104,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,495.80 : 192,506.10 = 75,834.96 : x
  2. Step 2: Convert to fraction form
    139,495.80/192,506.10 = 75,834.96/x
  3. Step 3: Cross multiply
    139,495.80x = 192,506.10 × 75,834.96
  4. Step 4: Simplify right side
    139,495.80x = 14,598,692,393.26
  5. Step 5: Solve for x
    x = 14,598,692,393.26/139,495.80
  6. Step 6: Final answer
    x = 104,653.28

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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.