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Finding the Fourth Proportional to 103,713, 143,123.94 and 56,609

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Solution

The fourth proportional to 103,713, 143,123.94 and 56,609 is: 78,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,713 : 143,123.94 = 56,609 : x
  2. Step 2: Convert to fraction form
    103,713/143,123.94 = 56,609/x
  3. Step 3: Cross multiply
    103,713x = 143,123.94 × 56,609
  4. Step 4: Simplify right side
    103,713x = 8,102,103,119.46
  5. Step 5: Solve for x
    x = 8,102,103,119.46/103,713
  6. Step 6: Final answer
    x = 78,120.42

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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.