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Finding the Fourth Proportional to 48,561.84, 72,871.01 and 20,480.15

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Solution

The fourth proportional to 48,561.84, 72,871.01 and 20,480.15 is: 30,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,561.84 : 72,871.01 = 20,480.15 : x
  2. Step 2: Convert to fraction form
    48,561.84/72,871.01 = 20,480.15/x
  3. Step 3: Cross multiply
    48,561.84x = 72,871.01 × 20,480.15
  4. Step 4: Simplify right side
    48,561.84x = 1,492,409,215.45
  5. Step 5: Solve for x
    x = 1,492,409,215.45/48,561.84
  6. Step 6: Final answer
    x = 30,732.14

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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.