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Finding the Fourth Proportional to 139,036, 191,868.54 and 75,372.16

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Solution

The fourth proportional to 139,036, 191,868.54 and 75,372.16 is: 104,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,036 : 191,868.54 = 75,372.16 : x
  2. Step 2: Convert to fraction form
    139,036/191,868.54 = 75,372.16/x
  3. Step 3: Cross multiply
    139,036x = 191,868.54 × 75,372.16
  4. Step 4: Simplify right side
    139,036x = 14,461,546,295.85
  5. Step 5: Solve for x
    x = 14,461,546,295.85/139,036
  6. Step 6: Final answer
    x = 104,012.96

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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.