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Finding the Fourth Proportional to 78,850.48, 117,979.16 and 47,143.84

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Solution

The fourth proportional to 78,850.48, 117,979.16 and 47,143.84 is: 70,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,850.48 : 117,979.16 = 47,143.84 : x
  2. Step 2: Convert to fraction form
    78,850.48/117,979.16 = 47,143.84/x
  3. Step 3: Cross multiply
    78,850.48x = 117,979.16 × 47,143.84
  4. Step 4: Simplify right side
    78,850.48x = 5,561,990,642.37
  5. Step 5: Solve for x
    x = 5,561,990,642.37/78,850.48
  6. Step 6: Final answer
    x = 70,538.45

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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.