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Finding the Fourth Proportional to 78,442.89, 108,251.81 and 42,632.83

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Solution

The fourth proportional to 78,442.89, 108,251.81 and 42,632.83 is: 58,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.89 : 108,251.81 = 42,632.83 : x
  2. Step 2: Convert to fraction form
    78,442.89/108,251.81 = 42,632.83/x
  3. Step 3: Cross multiply
    78,442.89x = 108,251.81 × 42,632.83
  4. Step 4: Simplify right side
    78,442.89x = 4,615,081,012.92
  5. Step 5: Solve for x
    x = 4,615,081,012.92/78,442.89
  6. Step 6: Final answer
    x = 58,833.64

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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.