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Finding the Fourth Proportional to 267,435.72, 401,215.68 and 77,900.58

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Solution

The fourth proportional to 267,435.72, 401,215.68 and 77,900.58 is: 116,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,435.72 : 401,215.68 = 77,900.58 : x
  2. Step 2: Convert to fraction form
    267,435.72/401,215.68 = 77,900.58/x
  3. Step 3: Cross multiply
    267,435.72x = 401,215.68 × 77,900.58
  4. Step 4: Simplify right side
    267,435.72x = 31,254,934,177.09
  5. Step 5: Solve for x
    x = 31,254,934,177.09/267,435.72
  6. Step 6: Final answer
    x = 116,868.96

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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.