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Finding the Fourth Proportional to 169,731.20, 254,564.40 and 51,406.40

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Solution

The fourth proportional to 169,731.20, 254,564.40 and 51,406.40 is: 77,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,731.20 : 254,564.40 = 51,406.40 : x
  2. Step 2: Convert to fraction form
    169,731.20/254,564.40 = 51,406.40/x
  3. Step 3: Cross multiply
    169,731.20x = 254,564.40 × 51,406.40
  4. Step 4: Simplify right side
    169,731.20x = 13,086,239,372.16
  5. Step 5: Solve for x
    x = 13,086,239,372.16/169,731.20
  6. Step 6: Final answer
    x = 77,099.79

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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.