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Finding the Fourth Proportional to 51,054.70, 76,472.70 and 42,306.70

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Solution

The fourth proportional to 51,054.70, 76,472.70 and 42,306.70 is: 63,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,054.70 : 76,472.70 = 42,306.70 : x
  2. Step 2: Convert to fraction form
    51,054.70/76,472.70 = 42,306.70/x
  3. Step 3: Cross multiply
    51,054.70x = 76,472.70 × 42,306.70
  4. Step 4: Simplify right side
    51,054.70x = 3,235,307,577.09
  5. Step 5: Solve for x
    x = 3,235,307,577.09/51,054.70
  6. Step 6: Final answer
    x = 63,369.44

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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.