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Finding the Fourth Proportional to 56,509.72, 84,772.02 and 20,966.20

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Solution

The fourth proportional to 56,509.72, 84,772.02 and 20,966.20 is: 31,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,509.72 : 84,772.02 = 20,966.20 : x
  2. Step 2: Convert to fraction form
    56,509.72/84,772.02 = 20,966.20/x
  3. Step 3: Cross multiply
    56,509.72x = 84,772.02 × 20,966.20
  4. Step 4: Simplify right side
    56,509.72x = 1,777,347,125.72
  5. Step 5: Solve for x
    x = 1,777,347,125.72/56,509.72
  6. Step 6: Final answer
    x = 31,452.06

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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.