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Finding the Fourth Proportional to 101,709, 152,563.50 and 39,379.50

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Solution

The fourth proportional to 101,709, 152,563.50 and 39,379.50 is: 59,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709 : 152,563.50 = 39,379.50 : x
  2. Step 2: Convert to fraction form
    101,709/152,563.50 = 39,379.50/x
  3. Step 3: Cross multiply
    101,709x = 152,563.50 × 39,379.50
  4. Step 4: Simplify right side
    101,709x = 6,007,874,348.25
  5. Step 5: Solve for x
    x = 6,007,874,348.25/101,709
  6. Step 6: Final answer
    x = 59,069.25

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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.