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Finding the Fourth Proportional to 267,142, 400,605.36 and 96,315.08

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Solution

The fourth proportional to 267,142, 400,605.36 and 96,315.08 is: 144,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142 : 400,605.36 = 96,315.08 : x
  2. Step 2: Convert to fraction form
    267,142/400,605.36 = 96,315.08/x
  3. Step 3: Cross multiply
    267,142x = 400,605.36 × 96,315.08
  4. Step 4: Simplify right side
    267,142x = 38,584,337,296.83
  5. Step 5: Solve for x
    x = 38,584,337,296.83/267,142
  6. Step 6: Final answer
    x = 144,433.81

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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.