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Finding the Fourth Proportional to 36,205, 49,965.78 and 21,303.88

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Solution

The fourth proportional to 36,205, 49,965.78 and 21,303.88 is: 29,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205 : 49,965.78 = 21,303.88 : x
  2. Step 2: Convert to fraction form
    36,205/49,965.78 = 21,303.88/x
  3. Step 3: Cross multiply
    36,205x = 49,965.78 × 21,303.88
  4. Step 4: Simplify right side
    36,205x = 1,064,464,981.23
  5. Step 5: Solve for x
    x = 1,064,464,981.23/36,205
  6. Step 6: Final answer
    x = 29,401.05

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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.