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Finding the Fourth Proportional to 54,784.80, 82,145.70 and 21,465.90

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Solution

The fourth proportional to 54,784.80, 82,145.70 and 21,465.90 is: 32,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.80 : 82,145.70 = 21,465.90 : x
  2. Step 2: Convert to fraction form
    54,784.80/82,145.70 = 21,465.90/x
  3. Step 3: Cross multiply
    54,784.80x = 82,145.70 × 21,465.90
  4. Step 4: Simplify right side
    54,784.80x = 1,763,331,381.63
  5. Step 5: Solve for x
    x = 1,763,331,381.63/54,784.80
  6. Step 6: Final answer
    x = 32,186.51

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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.