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Finding the Fourth Proportional to 201,801.60, 302,767.20 and 89,438.40

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Solution

The fourth proportional to 201,801.60, 302,767.20 and 89,438.40 is: 134,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,801.60 : 302,767.20 = 89,438.40 : x
  2. Step 2: Convert to fraction form
    201,801.60/302,767.20 = 89,438.40/x
  3. Step 3: Cross multiply
    201,801.60x = 302,767.20 × 89,438.40
  4. Step 4: Simplify right side
    201,801.60x = 27,079,013,940.48
  5. Step 5: Solve for x
    x = 27,079,013,940.48/201,801.60
  6. Step 6: Final answer
    x = 134,186.32

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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.