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Finding the Fourth Proportional to 72,137.00, 108,171.44 and 42,159.84

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Solution

The fourth proportional to 72,137.00, 108,171.44 and 42,159.84 is: 63,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,137.00 : 108,171.44 = 42,159.84 : x
  2. Step 2: Convert to fraction form
    72,137.00/108,171.44 = 42,159.84/x
  3. Step 3: Cross multiply
    72,137.00x = 108,171.44 × 42,159.84
  4. Step 4: Simplify right side
    72,137.00x = 4,560,490,182.42
  5. Step 5: Solve for x
    x = 4,560,490,182.42/72,137.00
  6. Step 6: Final answer
    x = 63,219.85

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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.