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Finding the Fourth Proportional to 139,230, 192,136.32 and 75,567.96

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Solution

The fourth proportional to 139,230, 192,136.32 and 75,567.96 is: 104,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,230 : 192,136.32 = 75,567.96 : x
  2. Step 2: Convert to fraction form
    139,230/192,136.32 = 75,567.96/x
  3. Step 3: Cross multiply
    139,230x = 192,136.32 × 75,567.96
  4. Step 4: Simplify right side
    139,230x = 14,519,349,744.31
  5. Step 5: Solve for x
    x = 14,519,349,744.31/139,230
  6. Step 6: Final answer
    x = 104,283.20

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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.