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Finding the Fourth Proportional to 43,146.01, 64,692.59 and 16,820

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Solution

The fourth proportional to 43,146.01, 64,692.59 and 16,820 is: 25,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,146.01 : 64,692.59 = 16,820 : x
  2. Step 2: Convert to fraction form
    43,146.01/64,692.59 = 16,820/x
  3. Step 3: Cross multiply
    43,146.01x = 64,692.59 × 16,820
  4. Step 4: Simplify right side
    43,146.01x = 1,088,129,363.80
  5. Step 5: Solve for x
    x = 1,088,129,363.80/43,146.01
  6. Step 6: Final answer
    x = 25,219.70

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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.