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Finding the Fourth Proportional to 145,482.21, 200,763.50 and 81,820

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Solution

The fourth proportional to 145,482.21, 200,763.50 and 81,820 is: 112,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,482.21 : 200,763.50 = 81,820 : x
  2. Step 2: Convert to fraction form
    145,482.21/200,763.50 = 81,820/x
  3. Step 3: Cross multiply
    145,482.21x = 200,763.50 × 81,820
  4. Step 4: Simplify right side
    145,482.21x = 16,426,469,570
  5. Step 5: Solve for x
    x = 16,426,469,570/145,482.21
  6. Step 6: Final answer
    x = 112,910.50

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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.