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Finding the Fourth Proportional to 202,166.28, 278,973.72 and 117,288.81

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Solution

The fourth proportional to 202,166.28, 278,973.72 and 117,288.81 is: 161,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166.28 : 278,973.72 = 117,288.81 : x
  2. Step 2: Convert to fraction form
    202,166.28/278,973.72 = 117,288.81/x
  3. Step 3: Cross multiply
    202,166.28x = 278,973.72 × 117,288.81
  4. Step 4: Simplify right side
    202,166.28x = 32,720,495,640.07
  5. Step 5: Solve for x
    x = 32,720,495,640.07/202,166.28
  6. Step 6: Final answer
    x = 161,849.42

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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.