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Finding the Fourth Proportional to 73,953.16, 102,055.36 and 40,419.16

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Solution

The fourth proportional to 73,953.16, 102,055.36 and 40,419.16 is: 55,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,953.16 : 102,055.36 = 40,419.16 : x
  2. Step 2: Convert to fraction form
    73,953.16/102,055.36 = 40,419.16/x
  3. Step 3: Cross multiply
    73,953.16x = 102,055.36 × 40,419.16
  4. Step 4: Simplify right side
    73,953.16x = 4,124,991,414.42
  5. Step 5: Solve for x
    x = 4,124,991,414.42/73,953.16
  6. Step 6: Final answer
    x = 55,778.44

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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.