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Finding the Fourth Proportional to 189,365.95, 261,419.70 and 117,769.03

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Solution

The fourth proportional to 189,365.95, 261,419.70 and 117,769.03 is: 162,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,365.95 : 261,419.70 = 117,769.03 : x
  2. Step 2: Convert to fraction form
    189,365.95/261,419.70 = 117,769.03/x
  3. Step 3: Cross multiply
    189,365.95x = 261,419.70 × 117,769.03
  4. Step 4: Simplify right side
    189,365.95x = 30,787,144,491.89
  5. Step 5: Solve for x
    x = 30,787,144,491.89/189,365.95
  6. Step 6: Final answer
    x = 162,580.15

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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.