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Finding the Fourth Proportional to 201,785.60, 302,851.20 and 89,638.40

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Solution

The fourth proportional to 201,785.60, 302,851.20 and 89,638.40 is: 134,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,785.60 : 302,851.20 = 89,638.40 : x
  2. Step 2: Convert to fraction form
    201,785.60/302,851.20 = 89,638.40/x
  3. Step 3: Cross multiply
    201,785.60x = 302,851.20 × 89,638.40
  4. Step 4: Simplify right side
    201,785.60x = 27,147,097,006.08
  5. Step 5: Solve for x
    x = 27,147,097,006.08/201,785.60
  6. Step 6: Final answer
    x = 134,534.36

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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.