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Finding the Fourth Proportional to 151,783, 209,463.84 and 83,799.76

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Solution

The fourth proportional to 151,783, 209,463.84 and 83,799.76 is: 115,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,783 : 209,463.84 = 83,799.76 : x
  2. Step 2: Convert to fraction form
    151,783/209,463.84 = 83,799.76/x
  3. Step 3: Cross multiply
    151,783x = 209,463.84 × 83,799.76
  4. Step 4: Simplify right side
    151,783x = 17,553,019,520.68
  5. Step 5: Solve for x
    x = 17,553,019,520.68/151,783
  6. Step 6: Final answer
    x = 115,645.49

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1.5x scale

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.