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Finding the Fourth Proportional to 266,065.12, 399,170.58 and 132,784.48

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Solution

The fourth proportional to 266,065.12, 399,170.58 and 132,784.48 is: 199,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,065.12 : 399,170.58 = 132,784.48 : x
  2. Step 2: Convert to fraction form
    266,065.12/399,170.58 = 132,784.48/x
  3. Step 3: Cross multiply
    266,065.12x = 399,170.58 × 132,784.48
  4. Step 4: Simplify right side
    266,065.12x = 53,003,657,896.60
  5. Step 5: Solve for x
    x = 53,003,657,896.60/266,065.12
  6. Step 6: Final answer
    x = 199,213.10

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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.