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Finding the Fourth Proportional to 266,766.71, 368,146.86 and 145,908

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Solution

The fourth proportional to 266,766.71, 368,146.86 and 145,908 is: 201,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,766.71 : 368,146.86 = 145,908 : x
  2. Step 2: Convert to fraction form
    266,766.71/368,146.86 = 145,908/x
  3. Step 3: Cross multiply
    266,766.71x = 368,146.86 × 145,908
  4. Step 4: Simplify right side
    266,766.71x = 53,715,572,048.88
  5. Step 5: Solve for x
    x = 53,715,572,048.88/266,766.71
  6. Step 6: Final answer
    x = 201,357.85

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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.