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Finding the Fourth Proportional to 103,195.96, 142,350.01 and 64,894.84

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Solution

The fourth proportional to 103,195.96, 142,350.01 and 64,894.84 is: 89,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,195.96 : 142,350.01 = 64,894.84 : x
  2. Step 2: Convert to fraction form
    103,195.96/142,350.01 = 64,894.84/x
  3. Step 3: Cross multiply
    103,195.96x = 142,350.01 × 64,894.84
  4. Step 4: Simplify right side
    103,195.96x = 9,237,780,604.84
  5. Step 5: Solve for x
    x = 9,237,780,604.84/103,195.96
  6. Step 6: Final answer
    x = 89,516.88

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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.