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Finding the Fourth Proportional to 102,379.37, 153,463.82 and 39,184.65

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Solution

The fourth proportional to 102,379.37, 153,463.82 and 39,184.65 is: 58,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,379.37 : 153,463.82 = 39,184.65 : x
  2. Step 2: Convert to fraction form
    102,379.37/153,463.82 = 39,184.65/x
  3. Step 3: Cross multiply
    102,379.37x = 153,463.82 × 39,184.65
  4. Step 4: Simplify right side
    102,379.37x = 6,013,425,878.44
  5. Step 5: Solve for x
    x = 6,013,425,878.44/102,379.37
  6. Step 6: Final answer
    x = 58,736.70

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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.