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Finding the Fourth Proportional to 109,380, 163,957.92 and 83,028.96

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Solution

The fourth proportional to 109,380, 163,957.92 and 83,028.96 is: 124,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,380 : 163,957.92 = 83,028.96 : x
  2. Step 2: Convert to fraction form
    109,380/163,957.92 = 83,028.96/x
  3. Step 3: Cross multiply
    109,380x = 163,957.92 × 83,028.96
  4. Step 4: Simplify right side
    109,380x = 13,613,255,581.36
  5. Step 5: Solve for x
    x = 13,613,255,581.36/109,380
  6. Step 6: Final answer
    x = 124,458.36

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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.