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Finding the Fourth Proportional to 140,451.59, 210,698.40 and 51,698.34

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Solution

The fourth proportional to 140,451.59, 210,698.40 and 51,698.34 is: 77,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,451.59 : 210,698.40 = 51,698.34 : x
  2. Step 2: Convert to fraction form
    140,451.59/210,698.40 = 51,698.34/x
  3. Step 3: Cross multiply
    140,451.59x = 210,698.40 × 51,698.34
  4. Step 4: Simplify right side
    140,451.59x = 10,892,757,520.66
  5. Step 5: Solve for x
    x = 10,892,757,520.66/140,451.59
  6. Step 6: Final answer
    x = 77,555.25

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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.