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Finding the Fourth Proportional to 101,712, 152,568 and 39,382.50

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Solution

The fourth proportional to 101,712, 152,568 and 39,382.50 is: 59,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712 : 152,568 = 39,382.50 : x
  2. Step 2: Convert to fraction form
    101,712/152,568 = 39,382.50/x
  3. Step 3: Cross multiply
    101,712x = 152,568 × 39,382.50
  4. Step 4: Simplify right side
    101,712x = 6,008,509,260
  5. Step 5: Solve for x
    x = 6,008,509,260/101,712
  6. Step 6: Final answer
    x = 59,073.75

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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.