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Finding the Fourth Proportional to 78,035.73, 107,582.09 and 49,341.05

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Solution

The fourth proportional to 78,035.73, 107,582.09 and 49,341.05 is: 68,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,035.73 : 107,582.09 = 49,341.05 : x
  2. Step 2: Convert to fraction form
    78,035.73/107,582.09 = 49,341.05/x
  3. Step 3: Cross multiply
    78,035.73x = 107,582.09 × 49,341.05
  4. Step 4: Simplify right side
    78,035.73x = 5,308,213,281.79
  5. Step 5: Solve for x
    x = 5,308,213,281.79/78,035.73
  6. Step 6: Final answer
    x = 68,022.86

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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.