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Finding the Fourth Proportional to 56,471.76, 84,710.52 and 21,414.32

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Solution

The fourth proportional to 56,471.76, 84,710.52 and 21,414.32 is: 32,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471.76 : 84,710.52 = 21,414.32 : x
  2. Step 2: Convert to fraction form
    56,471.76/84,710.52 = 21,414.32/x
  3. Step 3: Cross multiply
    56,471.76x = 84,710.52 × 21,414.32
  4. Step 4: Simplify right side
    56,471.76x = 1,814,018,182.65
  5. Step 5: Solve for x
    x = 1,814,018,182.65/56,471.76
  6. Step 6: Final answer
    x = 32,122.57

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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.