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Finding the Fourth Proportional to 83,203.81, 114,809.30 and 47,388.04

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Solution

The fourth proportional to 83,203.81, 114,809.30 and 47,388.04 is: 65,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,203.81 : 114,809.30 = 47,388.04 : x
  2. Step 2: Convert to fraction form
    83,203.81/114,809.30 = 47,388.04/x
  3. Step 3: Cross multiply
    83,203.81x = 114,809.30 × 47,388.04
  4. Step 4: Simplify right side
    83,203.81x = 5,440,587,354.51
  5. Step 5: Solve for x
    x = 5,440,587,354.51/83,203.81
  6. Step 6: Final answer
    x = 65,388.68

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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.