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Finding the Fourth Proportional to 135,643.34, 187,143 and 81,907.94

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Solution

The fourth proportional to 135,643.34, 187,143 and 81,907.94 is: 113,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,643.34 : 187,143 = 81,907.94 : x
  2. Step 2: Convert to fraction form
    135,643.34/187,143 = 81,907.94/x
  3. Step 3: Cross multiply
    135,643.34x = 187,143 × 81,907.94
  4. Step 4: Simplify right side
    135,643.34x = 15,328,497,615.42
  5. Step 5: Solve for x
    x = 15,328,497,615.42/135,643.34
  6. Step 6: Final answer
    x = 113,005.90

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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.