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Finding the Fourth Proportional to 227,031.80, 340,742.10 and 100,866.20

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Solution

The fourth proportional to 227,031.80, 340,742.10 and 100,866.20 is: 151,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,031.80 : 340,742.10 = 100,866.20 : x
  2. Step 2: Convert to fraction form
    227,031.80/340,742.10 = 100,866.20/x
  3. Step 3: Cross multiply
    227,031.80x = 340,742.10 × 100,866.20
  4. Step 4: Simplify right side
    227,031.80x = 34,369,360,807.02
  5. Step 5: Solve for x
    x = 34,369,360,807.02/227,031.80
  6. Step 6: Final answer
    x = 151,385.67

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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.