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Finding the Fourth Proportional to 48,294.57, 72,459 and 21,638.46

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Solution

The fourth proportional to 48,294.57, 72,459 and 21,638.46 is: 32,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,294.57 : 72,459 = 21,638.46 : x
  2. Step 2: Convert to fraction form
    48,294.57/72,459 = 21,638.46/x
  3. Step 3: Cross multiply
    48,294.57x = 72,459 × 21,638.46
  4. Step 4: Simplify right side
    48,294.57x = 1,567,901,173.14
  5. Step 5: Solve for x
    x = 1,567,901,173.14/48,294.57
  6. Step 6: Final answer
    x = 32,465.37

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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.