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Finding the Fourth Proportional to 109,136.60, 163,704.90 and 86,829.20

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Solution

The fourth proportional to 109,136.60, 163,704.90 and 86,829.20 is: 130,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,136.60 : 163,704.90 = 86,829.20 : x
  2. Step 2: Convert to fraction form
    109,136.60/163,704.90 = 86,829.20/x
  3. Step 3: Cross multiply
    109,136.60x = 163,704.90 × 86,829.20
  4. Step 4: Simplify right side
    109,136.60x = 14,214,365,503.08
  5. Step 5: Solve for x
    x = 14,214,365,503.08/109,136.60
  6. Step 6: Final answer
    x = 130,243.80

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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.