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Finding the Fourth Proportional to 78,383.80, 108,176.32 and 44,398.34

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Solution

The fourth proportional to 78,383.80, 108,176.32 and 44,398.34 is: 61,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,383.80 : 108,176.32 = 44,398.34 : x
  2. Step 2: Convert to fraction form
    78,383.80/108,176.32 = 44,398.34/x
  3. Step 3: Cross multiply
    78,383.80x = 108,176.32 × 44,398.34
  4. Step 4: Simplify right side
    78,383.80x = 4,802,849,035.31
  5. Step 5: Solve for x
    x = 4,802,849,035.31/78,383.80
  6. Step 6: Final answer
    x = 61,273.49

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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.