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Finding the Fourth Proportional to 260,033.64, 390,098.88 and 82,492.80

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Solution

The fourth proportional to 260,033.64, 390,098.88 and 82,492.80 is: 123,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,033.64 : 390,098.88 = 82,492.80 : x
  2. Step 2: Convert to fraction form
    260,033.64/390,098.88 = 82,492.80/x
  3. Step 3: Cross multiply
    260,033.64x = 390,098.88 × 82,492.80
  4. Step 4: Simplify right side
    260,033.64x = 32,180,348,888.06
  5. Step 5: Solve for x
    x = 32,180,348,888.06/260,033.64
  6. Step 6: Final answer
    x = 123,754.56

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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.