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Finding the Fourth Proportional to 201,748.60, 302,687.70 and 89,385.40

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Solution

The fourth proportional to 201,748.60, 302,687.70 and 89,385.40 is: 134,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748.60 : 302,687.70 = 89,385.40 : x
  2. Step 2: Convert to fraction form
    201,748.60/302,687.70 = 89,385.40/x
  3. Step 3: Cross multiply
    201,748.60x = 302,687.70 × 89,385.40
  4. Step 4: Simplify right side
    201,748.60x = 27,055,861,139.58
  5. Step 5: Solve for x
    x = 27,055,861,139.58/201,748.60
  6. Step 6: Final answer
    x = 134,106.81

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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.