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Finding the Fourth Proportional to 77,394.06, 116,142.87 and 28,146.06

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Solution

The fourth proportional to 77,394.06, 116,142.87 and 28,146.06 is: 42,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394.06 : 116,142.87 = 28,146.06 : x
  2. Step 2: Convert to fraction form
    77,394.06/116,142.87 = 28,146.06/x
  3. Step 3: Cross multiply
    77,394.06x = 116,142.87 × 28,146.06
  4. Step 4: Simplify right side
    77,394.06x = 3,268,964,187.59
  5. Step 5: Solve for x
    x = 3,268,964,187.59/77,394.06
  6. Step 6: Final answer
    x = 42,237.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.