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Finding the Fourth Proportional to 103,662.96, 143,074.46 and 64,918.78

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Solution

The fourth proportional to 103,662.96, 143,074.46 and 64,918.78 is: 89,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662.96 : 143,074.46 = 64,918.78 : x
  2. Step 2: Convert to fraction form
    103,662.96/143,074.46 = 64,918.78/x
  3. Step 3: Cross multiply
    103,662.96x = 143,074.46 × 64,918.78
  4. Step 4: Simplify right side
    103,662.96x = 9,288,219,392.36
  5. Step 5: Solve for x
    x = 9,288,219,392.36/103,662.96
  6. Step 6: Final answer
    x = 89,600.18

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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.