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Finding the Fourth Proportional to 73,980, 102,094.92 and 40,448.16

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Solution

The fourth proportional to 73,980, 102,094.92 and 40,448.16 is: 55,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980 : 102,094.92 = 40,448.16 : x
  2. Step 2: Convert to fraction form
    73,980/102,094.92 = 40,448.16/x
  3. Step 3: Cross multiply
    73,980x = 102,094.92 × 40,448.16
  4. Step 4: Simplify right side
    73,980x = 4,129,551,659.35
  5. Step 5: Solve for x
    x = 4,129,551,659.35/73,980
  6. Step 6: Final answer
    x = 55,819.84

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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.