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Finding the Fourth Proportional to 209,509.96, 314,129.72 and 89,645.14

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Solution

The fourth proportional to 209,509.96, 314,129.72 and 89,645.14 is: 134,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,509.96 : 314,129.72 = 89,645.14 : x
  2. Step 2: Convert to fraction form
    209,509.96/314,129.72 = 89,645.14/x
  3. Step 3: Cross multiply
    209,509.96x = 314,129.72 × 89,645.14
  4. Step 4: Simplify right side
    209,509.96x = 28,160,202,727.56
  5. Step 5: Solve for x
    x = 28,160,202,727.56/209,509.96
  6. Step 6: Final answer
    x = 134,409.85

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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.