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Finding the Fourth Proportional to 209,476.70, 314,174.49 and 81,392.76

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Solution

The fourth proportional to 209,476.70, 314,174.49 and 81,392.76 is: 122,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,476.70 : 314,174.49 = 81,392.76 : x
  2. Step 2: Convert to fraction form
    209,476.70/314,174.49 = 81,392.76/x
  3. Step 3: Cross multiply
    209,476.70x = 314,174.49 × 81,392.76
  4. Step 4: Simplify right side
    209,476.70x = 25,571,528,862.69
  5. Step 5: Solve for x
    x = 25,571,528,862.69/209,476.70
  6. Step 6: Final answer
    x = 122,073.38

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1.5x scale

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.