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Finding the Fourth Proportional to 119,138.57, 178,707.93 and 74,796.47

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Solution

The fourth proportional to 119,138.57, 178,707.93 and 74,796.47 is: 112,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,138.57 : 178,707.93 = 74,796.47 : x
  2. Step 2: Convert to fraction form
    119,138.57/178,707.93 = 74,796.47/x
  3. Step 3: Cross multiply
    119,138.57x = 178,707.93 × 74,796.47
  4. Step 4: Simplify right side
    119,138.57x = 13,366,721,821.14
  5. Step 5: Solve for x
    x = 13,366,721,821.14/119,138.57
  6. Step 6: Final answer
    x = 112,194.75

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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.