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Finding the Fourth Proportional to 129,829.60, 194,744.40 and 85,506.40

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Solution

The fourth proportional to 129,829.60, 194,744.40 and 85,506.40 is: 128,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,829.60 : 194,744.40 = 85,506.40 : x
  2. Step 2: Convert to fraction form
    129,829.60/194,744.40 = 85,506.40/x
  3. Step 3: Cross multiply
    129,829.60x = 194,744.40 × 85,506.40
  4. Step 4: Simplify right side
    129,829.60x = 16,651,892,564.16
  5. Step 5: Solve for x
    x = 16,651,892,564.16/129,829.60
  6. Step 6: Final answer
    x = 128,259.60

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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.