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Finding the Fourth Proportional to 171,902.13, 257,956.87 and 73,406.13

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Solution

The fourth proportional to 171,902.13, 257,956.87 and 73,406.13 is: 110,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,902.13 : 257,956.87 = 73,406.13 : x
  2. Step 2: Convert to fraction form
    171,902.13/257,956.87 = 73,406.13/x
  3. Step 3: Cross multiply
    171,902.13x = 257,956.87 × 73,406.13
  4. Step 4: Simplify right side
    171,902.13x = 18,935,615,533.61
  5. Step 5: Solve for x
    x = 18,935,615,533.61/171,902.13
  6. Step 6: Final answer
    x = 110,153.47

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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.