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Finding the Fourth Proportional to 68,281.48, 102,422.22 and 21,538

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Solution

The fourth proportional to 68,281.48, 102,422.22 and 21,538 is: 32,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,281.48 : 102,422.22 = 21,538 : x
  2. Step 2: Convert to fraction form
    68,281.48/102,422.22 = 21,538/x
  3. Step 3: Cross multiply
    68,281.48x = 102,422.22 × 21,538
  4. Step 4: Simplify right side
    68,281.48x = 2,205,969,774.36
  5. Step 5: Solve for x
    x = 2,205,969,774.36/68,281.48
  6. Step 6: Final answer
    x = 32,307.00

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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.