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Finding the Fourth Proportional to 201,397.50, 302,140.26 and 76,738.50

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Solution

The fourth proportional to 201,397.50, 302,140.26 and 76,738.50 is: 115,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397.50 : 302,140.26 = 76,738.50 : x
  2. Step 2: Convert to fraction form
    201,397.50/302,140.26 = 76,738.50/x
  3. Step 3: Cross multiply
    201,397.50x = 302,140.26 × 76,738.50
  4. Step 4: Simplify right side
    201,397.50x = 23,185,790,342.01
  5. Step 5: Solve for x
    x = 23,185,790,342.01/201,397.50
  6. Step 6: Final answer
    x = 115,124.52

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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.