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Finding the Fourth Proportional to 151,383.50, 208,909.26 and 84,315.50

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Solution

The fourth proportional to 151,383.50, 208,909.26 and 84,315.50 is: 116,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,383.50 : 208,909.26 = 84,315.50 : x
  2. Step 2: Convert to fraction form
    151,383.50/208,909.26 = 84,315.50/x
  3. Step 3: Cross multiply
    151,383.50x = 208,909.26 × 84,315.50
  4. Step 4: Simplify right side
    151,383.50x = 17,614,288,711.53
  5. Step 5: Solve for x
    x = 17,614,288,711.53/151,383.50
  6. Step 6: Final answer
    x = 116,355.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.