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Finding the Fourth Proportional to 209,070.99, 313,507.53 and 81,047.25

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Solution

The fourth proportional to 209,070.99, 313,507.53 and 81,047.25 is: 121,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,070.99 : 313,507.53 = 81,047.25 : x
  2. Step 2: Convert to fraction form
    209,070.99/313,507.53 = 81,047.25/x
  3. Step 3: Cross multiply
    209,070.99x = 313,507.53 × 81,047.25
  4. Step 4: Simplify right side
    209,070.99x = 25,408,923,160.79
  5. Step 5: Solve for x
    x = 25,408,923,160.79/209,070.99
  6. Step 6: Final answer
    x = 121,532.51

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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.