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Finding the Fourth Proportional to 83,188.96, 124,712.72 and 36,406.88

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Solution

The fourth proportional to 83,188.96, 124,712.72 and 36,406.88 is: 54,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.96 : 124,712.72 = 36,406.88 : x
  2. Step 2: Convert to fraction form
    83,188.96/124,712.72 = 36,406.88/x
  3. Step 3: Cross multiply
    83,188.96x = 124,712.72 × 36,406.88
  4. Step 4: Simplify right side
    83,188.96x = 4,540,401,031.51
  5. Step 5: Solve for x
    x = 4,540,401,031.51/83,188.96
  6. Step 6: Final answer
    x = 54,579.37

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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.