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Finding the Fourth Proportional to 103,809.65, 143,257.32 and 56,063.01

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Solution

The fourth proportional to 103,809.65, 143,257.32 and 56,063.01 is: 77,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,809.65 : 143,257.32 = 56,063.01 : x
  2. Step 2: Convert to fraction form
    103,809.65/143,257.32 = 56,063.01/x
  3. Step 3: Cross multiply
    103,809.65x = 143,257.32 × 56,063.01
  4. Step 4: Simplify right side
    103,809.65x = 8,031,436,563.73
  5. Step 5: Solve for x
    x = 8,031,436,563.73/103,809.65
  6. Step 6: Final answer
    x = 77,366.96

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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.