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Finding the Fourth Proportional to 201,909.50, 278,640.88 and 112,491.26

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Solution

The fourth proportional to 201,909.50, 278,640.88 and 112,491.26 is: 155,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909.50 : 278,640.88 = 112,491.26 : x
  2. Step 2: Convert to fraction form
    201,909.50/278,640.88 = 112,491.26/x
  3. Step 3: Cross multiply
    201,909.50x = 278,640.88 × 112,491.26
  4. Step 4: Simplify right side
    201,909.50x = 31,344,663,678.71
  5. Step 5: Solve for x
    x = 31,344,663,678.71/201,909.50
  6. Step 6: Final answer
    x = 155,241.15

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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.