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Finding the Fourth Proportional to 56,415.66, 84,534.48 and 20,828.04

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Solution

The fourth proportional to 56,415.66, 84,534.48 and 20,828.04 is: 31,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,415.66 : 84,534.48 = 20,828.04 : x
  2. Step 2: Convert to fraction form
    56,415.66/84,534.48 = 20,828.04/x
  3. Step 3: Cross multiply
    56,415.66x = 84,534.48 × 20,828.04
  4. Step 4: Simplify right side
    56,415.66x = 1,760,687,530.82
  5. Step 5: Solve for x
    x = 1,760,687,530.82/56,415.66
  6. Step 6: Final answer
    x = 31,209.20

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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.