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Finding the Fourth Proportional to 266,405.76, 367,643.21 and 145,548.50

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Solution

The fourth proportional to 266,405.76, 367,643.21 and 145,548.50 is: 200,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,405.76 : 367,643.21 = 145,548.50 : x
  2. Step 2: Convert to fraction form
    266,405.76/367,643.21 = 145,548.50/x
  3. Step 3: Cross multiply
    266,405.76x = 367,643.21 × 145,548.50
  4. Step 4: Simplify right side
    266,405.76x = 53,509,915,184.73
  5. Step 5: Solve for x
    x = 53,509,915,184.73/266,405.76
  6. Step 6: Final answer
    x = 200,858.70

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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.