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Finding the Fourth Proportional to 102,576, 141,537.78 and 68,529.90

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Solution

The fourth proportional to 102,576, 141,537.78 and 68,529.90 is: 94,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,576 : 141,537.78 = 68,529.90 : x
  2. Step 2: Convert to fraction form
    102,576/141,537.78 = 68,529.90/x
  3. Step 3: Cross multiply
    102,576x = 141,537.78 × 68,529.90
  4. Step 4: Simplify right side
    102,576x = 9,699,569,909.62
  5. Step 5: Solve for x
    x = 9,699,569,909.62/102,576
  6. Step 6: Final answer
    x = 94,559.84

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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.