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Finding the Fourth Proportional to 139,029.20, 208,543.80 and 86,541.20

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Solution

The fourth proportional to 139,029.20, 208,543.80 and 86,541.20 is: 129,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,029.20 : 208,543.80 = 86,541.20 : x
  2. Step 2: Convert to fraction form
    139,029.20/208,543.80 = 86,541.20/x
  3. Step 3: Cross multiply
    139,029.20x = 208,543.80 × 86,541.20
  4. Step 4: Simplify right side
    139,029.20x = 18,047,630,704.56
  5. Step 5: Solve for x
    x = 18,047,630,704.56/139,029.20
  6. Step 6: Final answer
    x = 129,811.80

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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.