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Finding the Fourth Proportional to 133,669.10, 200,503.65 and 86,429.90

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Solution

The fourth proportional to 133,669.10, 200,503.65 and 86,429.90 is: 129,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,669.10 : 200,503.65 = 86,429.90 : x
  2. Step 2: Convert to fraction form
    133,669.10/200,503.65 = 86,429.90/x
  3. Step 3: Cross multiply
    133,669.10x = 200,503.65 × 86,429.90
  4. Step 4: Simplify right side
    133,669.10x = 17,329,510,419.14
  5. Step 5: Solve for x
    x = 17,329,510,419.14/133,669.10
  6. Step 6: Final answer
    x = 129,644.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.