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Finding the Fourth Proportional to 78,064.93, 107,725.54 and 45,795.06

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Solution

The fourth proportional to 78,064.93, 107,725.54 and 45,795.06 is: 63,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,064.93 : 107,725.54 = 45,795.06 : x
  2. Step 2: Convert to fraction form
    78,064.93/107,725.54 = 45,795.06/x
  3. Step 3: Cross multiply
    78,064.93x = 107,725.54 × 45,795.06
  4. Step 4: Simplify right side
    78,064.93x = 4,933,297,338.86
  5. Step 5: Solve for x
    x = 4,933,297,338.86/78,064.93
  6. Step 6: Final answer
    x = 63,194.80

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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.