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Finding the Fourth Proportional to 102,059.80, 140,911.26 and 91,271.20

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Solution

The fourth proportional to 102,059.80, 140,911.26 and 91,271.20 is: 126,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,059.80 : 140,911.26 = 91,271.20 : x
  2. Step 2: Convert to fraction form
    102,059.80/140,911.26 = 91,271.20/x
  3. Step 3: Cross multiply
    102,059.80x = 140,911.26 × 91,271.20
  4. Step 4: Simplify right side
    102,059.80x = 12,861,139,803.72
  5. Step 5: Solve for x
    x = 12,861,139,803.72/102,059.80
  6. Step 6: Final answer
    x = 126,015.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.