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Finding the Fourth Proportional to 83,697.84, 115,503.80 and 45,972.09

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Solution

The fourth proportional to 83,697.84, 115,503.80 and 45,972.09 is: 63,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,697.84 : 115,503.80 = 45,972.09 : x
  2. Step 2: Convert to fraction form
    83,697.84/115,503.80 = 45,972.09/x
  3. Step 3: Cross multiply
    83,697.84x = 115,503.80 × 45,972.09
  4. Step 4: Simplify right side
    83,697.84x = 5,309,950,859.08
  5. Step 5: Solve for x
    x = 5,309,950,859.08/83,697.84
  6. Step 6: Final answer
    x = 63,441.91

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1.5x scale

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.