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Finding the Fourth Proportional to 201,402.39, 302,185.68 and 129,435.91

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Solution

The fourth proportional to 201,402.39, 302,185.68 and 129,435.91 is: 194,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,402.39 : 302,185.68 = 129,435.91 : x
  2. Step 2: Convert to fraction form
    201,402.39/302,185.68 = 129,435.91/x
  3. Step 3: Cross multiply
    201,402.39x = 302,185.68 × 129,435.91
  4. Step 4: Simplify right side
    201,402.39x = 39,113,678,479.77
  5. Step 5: Solve for x
    x = 39,113,678,479.77/201,402.39
  6. Step 6: Final answer
    x = 194,206.63

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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.