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Finding the Fourth Proportional to 201,112.10, 301,668.15 and 76,436.90

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Solution

The fourth proportional to 201,112.10, 301,668.15 and 76,436.90 is: 114,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,112.10 : 301,668.15 = 76,436.90 : x
  2. Step 2: Convert to fraction form
    201,112.10/301,668.15 = 76,436.90/x
  3. Step 3: Cross multiply
    201,112.10x = 301,668.15 × 76,436.90
  4. Step 4: Simplify right side
    201,112.10x = 23,058,578,214.74
  5. Step 5: Solve for x
    x = 23,058,578,214.74/201,112.10
  6. Step 6: Final answer
    x = 114,655.35

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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.