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Finding the Fourth Proportional to 56,178.88, 84,311.84 and 21,150.40

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Solution

The fourth proportional to 56,178.88, 84,311.84 and 21,150.40 is: 31,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,178.88 : 84,311.84 = 21,150.40 : x
  2. Step 2: Convert to fraction form
    56,178.88/84,311.84 = 21,150.40/x
  3. Step 3: Cross multiply
    56,178.88x = 84,311.84 × 21,150.40
  4. Step 4: Simplify right side
    56,178.88x = 1,783,229,140.74
  5. Step 5: Solve for x
    x = 1,783,229,140.74/56,178.88
  6. Step 6: Final answer
    x = 31,741.98

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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.