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Finding the Fourth Proportional to 82,254.64, 123,388 and 72,461.76

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Solution

The fourth proportional to 82,254.64, 123,388 and 72,461.76 is: 108,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,254.64 : 123,388 = 72,461.76 : x
  2. Step 2: Convert to fraction form
    82,254.64/123,388 = 72,461.76/x
  3. Step 3: Cross multiply
    82,254.64x = 123,388 × 72,461.76
  4. Step 4: Simplify right side
    82,254.64x = 8,940,911,642.88
  5. Step 5: Solve for x
    x = 8,940,911,642.88/82,254.64
  6. Step 6: Final answer
    x = 108,697.96

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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.