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Finding the Fourth Proportional to 78,074.95, 107,739.34 and 45,805.08

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Solution

The fourth proportional to 78,074.95, 107,739.34 and 45,805.08 is: 63,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,074.95 : 107,739.34 = 45,805.08 : x
  2. Step 2: Convert to fraction form
    78,074.95/107,739.34 = 45,805.08/x
  3. Step 3: Cross multiply
    78,074.95x = 107,739.34 × 45,805.08
  4. Step 4: Simplify right side
    78,074.95x = 4,935,008,900.15
  5. Step 5: Solve for x
    x = 4,935,008,900.15/78,074.95
  6. Step 6: Final answer
    x = 63,208.61

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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.