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Finding the Fourth Proportional to 139,980.81, 193,173.37 and 76,318.59

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Solution

The fourth proportional to 139,980.81, 193,173.37 and 76,318.59 is: 105,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,980.81 : 193,173.37 = 76,318.59 : x
  2. Step 2: Convert to fraction form
    139,980.81/193,173.37 = 76,318.59/x
  3. Step 3: Cross multiply
    139,980.81x = 193,173.37 × 76,318.59
  4. Step 4: Simplify right side
    139,980.81x = 14,742,719,223.95
  5. Step 5: Solve for x
    x = 14,742,719,223.95/139,980.81
  6. Step 6: Final answer
    x = 105,319.57

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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.