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Finding the Fourth Proportional to 80,157.90, 110,598.02 and 51,829.50

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Solution

The fourth proportional to 80,157.90, 110,598.02 and 51,829.50 is: 71,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,157.90 : 110,598.02 = 51,829.50 : x
  2. Step 2: Convert to fraction form
    80,157.90/110,598.02 = 51,829.50/x
  3. Step 3: Cross multiply
    80,157.90x = 110,598.02 × 51,829.50
  4. Step 4: Simplify right side
    80,157.90x = 5,732,240,077.59
  5. Step 5: Solve for x
    x = 5,732,240,077.59/80,157.90
  6. Step 6: Final answer
    x = 71,511.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.