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Finding the Fourth Proportional to 135,513, 187,007.94 and 82,521

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Solution

The fourth proportional to 135,513, 187,007.94 and 82,521 is: 113,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,513 : 187,007.94 = 82,521 : x
  2. Step 2: Convert to fraction form
    135,513/187,007.94 = 82,521/x
  3. Step 3: Cross multiply
    135,513x = 187,007.94 × 82,521
  4. Step 4: Simplify right side
    135,513x = 15,432,082,216.74
  5. Step 5: Solve for x
    x = 15,432,082,216.74/135,513
  6. Step 6: Final answer
    x = 113,878.98

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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.