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Finding the Fourth Proportional to 140,451.85, 210,698.78 and 51,698.59

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Solution

The fourth proportional to 140,451.85, 210,698.78 and 51,698.59 is: 77,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,451.85 : 210,698.78 = 51,698.59 : x
  2. Step 2: Convert to fraction form
    140,451.85/210,698.78 = 51,698.59/x
  3. Step 3: Cross multiply
    140,451.85x = 210,698.78 × 51,698.59
  4. Step 4: Simplify right side
    140,451.85x = 10,892,829,582.23
  5. Step 5: Solve for x
    x = 10,892,829,582.23/140,451.85
  6. Step 6: Final answer
    x = 77,555.62

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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.