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Finding the Fourth Proportional to 266,973.10, 400,447.14 and 77,427.70

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Solution

The fourth proportional to 266,973.10, 400,447.14 and 77,427.70 is: 116,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,973.10 : 400,447.14 = 77,427.70 : x
  2. Step 2: Convert to fraction form
    266,973.10/400,447.14 = 77,427.70/x
  3. Step 3: Cross multiply
    266,973.10x = 400,447.14 × 77,427.70
  4. Step 4: Simplify right side
    266,973.10x = 31,005,701,021.78
  5. Step 5: Solve for x
    x = 31,005,701,021.78/266,973.10
  6. Step 6: Final answer
    x = 116,137.92

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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.