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Finding the Fourth Proportional to 80,602.30, 120,903.45 and 31,354.30

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Solution

The fourth proportional to 80,602.30, 120,903.45 and 31,354.30 is: 47,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,602.30 : 120,903.45 = 31,354.30 : x
  2. Step 2: Convert to fraction form
    80,602.30/120,903.45 = 31,354.30/x
  3. Step 3: Cross multiply
    80,602.30x = 120,903.45 × 31,354.30
  4. Step 4: Simplify right side
    80,602.30x = 3,790,843,042.34
  5. Step 5: Solve for x
    x = 3,790,843,042.34/80,602.30
  6. Step 6: Final answer
    x = 47,031.45

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1.5x scale

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.