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Finding the Fourth Proportional to 81,602.40, 122,230.80 and 72,847.20

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Solution

The fourth proportional to 81,602.40, 122,230.80 and 72,847.20 is: 109,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602.40 : 122,230.80 = 72,847.20 : x
  2. Step 2: Convert to fraction form
    81,602.40/122,230.80 = 72,847.20/x
  3. Step 3: Cross multiply
    81,602.40x = 122,230.80 × 72,847.20
  4. Step 4: Simplify right side
    81,602.40x = 8,904,171,533.76
  5. Step 5: Solve for x
    x = 8,904,171,533.76/81,602.40
  6. Step 6: Final answer
    x = 109,116.54

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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.