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Finding the Fourth Proportional to 209,129.70, 313,709.91 and 59,382.06

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Solution

The fourth proportional to 209,129.70, 313,709.91 and 59,382.06 is: 89,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,129.70 : 313,709.91 = 59,382.06 : x
  2. Step 2: Convert to fraction form
    209,129.70/313,709.91 = 59,382.06/x
  3. Step 3: Cross multiply
    209,129.70x = 313,709.91 × 59,382.06
  4. Step 4: Simplify right side
    209,129.70x = 18,628,741,397.76
  5. Step 5: Solve for x
    x = 18,628,741,397.76/209,129.70
  6. Step 6: Final answer
    x = 89,077.46

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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.