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Finding the Fourth Proportional to 140,903.60, 211,384.20 and 47,418.80

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Solution

The fourth proportional to 140,903.60, 211,384.20 and 47,418.80 is: 71,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,903.60 : 211,384.20 = 47,418.80 : x
  2. Step 2: Convert to fraction form
    140,903.60/211,384.20 = 47,418.80/x
  3. Step 3: Cross multiply
    140,903.60x = 211,384.20 × 47,418.80
  4. Step 4: Simplify right side
    140,903.60x = 10,023,585,102.96
  5. Step 5: Solve for x
    x = 10,023,585,102.96/140,903.60
  6. Step 6: Final answer
    x = 71,137.89

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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.