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Finding the Fourth Proportional to 159,789, 220,515.84 and 91,827.84

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Solution

The fourth proportional to 159,789, 220,515.84 and 91,827.84 is: 126,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,789 : 220,515.84 = 91,827.84 : x
  2. Step 2: Convert to fraction form
    159,789/220,515.84 = 91,827.84/x
  3. Step 3: Cross multiply
    159,789x = 220,515.84 × 91,827.84
  4. Step 4: Simplify right side
    159,789x = 20,249,493,272.99
  5. Step 5: Solve for x
    x = 20,249,493,272.99/159,789
  6. Step 6: Final answer
    x = 126,726.45

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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.