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Finding the Fourth Proportional to 140,911.60, 211,348.20 and 42,415.60

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Solution

The fourth proportional to 140,911.60, 211,348.20 and 42,415.60 is: 63,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,911.60 : 211,348.20 = 42,415.60 : x
  2. Step 2: Convert to fraction form
    140,911.60/211,348.20 = 42,415.60/x
  3. Step 3: Cross multiply
    140,911.60x = 211,348.20 × 42,415.60
  4. Step 4: Simplify right side
    140,911.60x = 8,964,460,711.92
  5. Step 5: Solve for x
    x = 8,964,460,711.92/140,911.60
  6. Step 6: Final answer
    x = 63,617.62

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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.