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Finding the Fourth Proportional to 102,068.46, 140,846.47 and 56,743.70

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Solution

The fourth proportional to 102,068.46, 140,846.47 and 56,743.70 is: 78,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,068.46 : 140,846.47 = 56,743.70 : x
  2. Step 2: Convert to fraction form
    102,068.46/140,846.47 = 56,743.70/x
  3. Step 3: Cross multiply
    102,068.46x = 140,846.47 × 56,743.70
  4. Step 4: Simplify right side
    102,068.46x = 7,992,148,993.65
  5. Step 5: Solve for x
    x = 7,992,148,993.65/102,068.46
  6. Step 6: Final answer
    x = 78,301.85

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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.