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Finding the Fourth Proportional to 305,806.93, 458,726.24 and 78,104.69

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Solution

The fourth proportional to 305,806.93, 458,726.24 and 78,104.69 is: 117,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,806.93 : 458,726.24 = 78,104.69 : x
  2. Step 2: Convert to fraction form
    305,806.93/458,726.24 = 78,104.69/x
  3. Step 3: Cross multiply
    305,806.93x = 458,726.24 × 78,104.69
  4. Step 4: Simplify right side
    305,806.93x = 35,828,669,952.58
  5. Step 5: Solve for x
    x = 35,828,669,952.58/305,806.93
  6. Step 6: Final answer
    x = 117,161.08

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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.