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Finding the Fourth Proportional to 201,571.60, 302,065.80 and 89,159.80

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Solution

The fourth proportional to 201,571.60, 302,065.80 and 89,159.80 is: 133,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,571.60 : 302,065.80 = 89,159.80 : x
  2. Step 2: Convert to fraction form
    201,571.60/302,065.80 = 89,159.80/x
  3. Step 3: Cross multiply
    201,571.60x = 302,065.80 × 89,159.80
  4. Step 4: Simplify right side
    201,571.60x = 26,932,126,314.84
  5. Step 5: Solve for x
    x = 26,932,126,314.84/201,571.60
  6. Step 6: Final answer
    x = 133,610.72

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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.