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Finding the Fourth Proportional to 201,905.60, 302,834.10 and 83,564.60

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Solution

The fourth proportional to 201,905.60, 302,834.10 and 83,564.60 is: 125,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905.60 : 302,834.10 = 83,564.60 : x
  2. Step 2: Convert to fraction form
    201,905.60/302,834.10 = 83,564.60/x
  3. Step 3: Cross multiply
    201,905.60x = 302,834.10 × 83,564.60
  4. Step 4: Simplify right side
    201,905.60x = 25,306,210,432.86
  5. Step 5: Solve for x
    x = 25,306,210,432.86/201,905.60
  6. Step 6: Final answer
    x = 125,336.84

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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.