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Finding the Fourth Proportional to 76,474.98, 105,506.03 and 56,379.64

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Solution

The fourth proportional to 76,474.98, 105,506.03 and 56,379.64 is: 77,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474.98 : 105,506.03 = 56,379.64 : x
  2. Step 2: Convert to fraction form
    76,474.98/105,506.03 = 56,379.64/x
  3. Step 3: Cross multiply
    76,474.98x = 105,506.03 × 56,379.64
  4. Step 4: Simplify right side
    76,474.98x = 5,948,392,393.94
  5. Step 5: Solve for x
    x = 5,948,392,393.94/76,474.98
  6. Step 6: Final answer
    x = 77,782.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.