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Finding the Fourth Proportional to 202,051.14, 278,811.54 and 117,159

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Solution

The fourth proportional to 202,051.14, 278,811.54 and 117,159 is: 161,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,051.14 : 278,811.54 = 117,159 : x
  2. Step 2: Convert to fraction form
    202,051.14/278,811.54 = 117,159/x
  3. Step 3: Cross multiply
    202,051.14x = 278,811.54 × 117,159
  4. Step 4: Simplify right side
    202,051.14x = 32,665,281,214.86
  5. Step 5: Solve for x
    x = 32,665,281,214.86/202,051.14
  6. Step 6: Final answer
    x = 161,668.38

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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.