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Finding the Fourth Proportional to 48,615.20, 72,922.80 and 15,783.20

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Solution

The fourth proportional to 48,615.20, 72,922.80 and 15,783.20 is: 23,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,615.20 : 72,922.80 = 15,783.20 : x
  2. Step 2: Convert to fraction form
    48,615.20/72,922.80 = 15,783.20/x
  3. Step 3: Cross multiply
    48,615.20x = 72,922.80 × 15,783.20
  4. Step 4: Simplify right side
    48,615.20x = 1,150,955,136.96
  5. Step 5: Solve for x
    x = 1,150,955,136.96/48,615.20
  6. Step 6: Final answer
    x = 23,674.80

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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.