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Finding the Fourth Proportional to 57,011.68, 85,465.52 and 21,977.44

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Solution

The fourth proportional to 57,011.68, 85,465.52 and 21,977.44 is: 32,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,011.68 : 85,465.52 = 21,977.44 : x
  2. Step 2: Convert to fraction form
    57,011.68/85,465.52 = 21,977.44/x
  3. Step 3: Cross multiply
    57,011.68x = 85,465.52 × 21,977.44
  4. Step 4: Simplify right side
    57,011.68x = 1,878,313,337.87
  5. Step 5: Solve for x
    x = 1,878,313,337.87/57,011.68
  6. Step 6: Final answer
    x = 32,946.11

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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.