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Finding the Fourth Proportional to 138,804.81, 191,551.25 and 75,142.60

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Solution

The fourth proportional to 138,804.81, 191,551.25 and 75,142.60 is: 103,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,804.81 : 191,551.25 = 75,142.60 : x
  2. Step 2: Convert to fraction form
    138,804.81/191,551.25 = 75,142.60/x
  3. Step 3: Cross multiply
    138,804.81x = 191,551.25 × 75,142.60
  4. Step 4: Simplify right side
    138,804.81x = 14,393,658,958.25
  5. Step 5: Solve for x
    x = 14,393,658,958.25/138,804.81
  6. Step 6: Final answer
    x = 103,697.12

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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.