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Finding the Fourth Proportional to 231,101.98, 318,922.84 and 135,610.26

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Solution

The fourth proportional to 231,101.98, 318,922.84 and 135,610.26 is: 187,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,101.98 : 318,922.84 = 135,610.26 : x
  2. Step 2: Convert to fraction form
    231,101.98/318,922.84 = 135,610.26/x
  3. Step 3: Cross multiply
    231,101.98x = 318,922.84 × 135,610.26
  4. Step 4: Simplify right side
    231,101.98x = 43,249,209,252.34
  5. Step 5: Solve for x
    x = 43,249,209,252.34/231,101.98
  6. Step 6: Final answer
    x = 187,143.40

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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.