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Finding the Fourth Proportional to 103,288, 142,537.44 and 58,576

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Solution

The fourth proportional to 103,288, 142,537.44 and 58,576 is: 80,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,288 : 142,537.44 = 58,576 : x
  2. Step 2: Convert to fraction form
    103,288/142,537.44 = 58,576/x
  3. Step 3: Cross multiply
    103,288x = 142,537.44 × 58,576
  4. Step 4: Simplify right side
    103,288x = 8,349,273,085.44
  5. Step 5: Solve for x
    x = 8,349,273,085.44/103,288
  6. Step 6: Final answer
    x = 80,834.88

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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.