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Finding the Fourth Proportional to 138,009.80, 207,136.20 and 81,779.60

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Solution

The fourth proportional to 138,009.80, 207,136.20 and 81,779.60 is: 122,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,009.80 : 207,136.20 = 81,779.60 : x
  2. Step 2: Convert to fraction form
    138,009.80/207,136.20 = 81,779.60/x
  3. Step 3: Cross multiply
    138,009.80x = 207,136.20 × 81,779.60
  4. Step 4: Simplify right side
    138,009.80x = 16,939,515,581.52
  5. Step 5: Solve for x
    x = 16,939,515,581.52/138,009.80
  6. Step 6: Final answer
    x = 122,741.40

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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.