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Finding the Fourth Proportional to 48,638.88, 72,971.28 and 15,359.76

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Solution

The fourth proportional to 48,638.88, 72,971.28 and 15,359.76 is: 23,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,638.88 : 72,971.28 = 15,359.76 : x
  2. Step 2: Convert to fraction form
    48,638.88/72,971.28 = 15,359.76/x
  3. Step 3: Cross multiply
    48,638.88x = 72,971.28 × 15,359.76
  4. Step 4: Simplify right side
    48,638.88x = 1,120,821,347.69
  5. Step 5: Solve for x
    x = 1,120,821,347.69/48,638.88
  6. Step 6: Final answer
    x = 23,043.73

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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.