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Finding the Fourth Proportional to 140,451.84, 210,698.77 and 51,698.59

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Solution

The fourth proportional to 140,451.84, 210,698.77 and 51,698.59 is: 77,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,451.84 : 210,698.77 = 51,698.59 : x
  2. Step 2: Convert to fraction form
    140,451.84/210,698.77 = 51,698.59/x
  3. Step 3: Cross multiply
    140,451.84x = 210,698.77 × 51,698.59
  4. Step 4: Simplify right side
    140,451.84x = 10,892,829,323.73
  5. Step 5: Solve for x
    x = 10,892,829,323.73/140,451.84
  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.