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Finding the Fourth Proportional to 126,576, 189,797.58 and 51,654.24

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Solution

The fourth proportional to 126,576, 189,797.58 and 51,654.24 is: 77,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,576 : 189,797.58 = 51,654.24 : x
  2. Step 2: Convert to fraction form
    126,576/189,797.58 = 51,654.24/x
  3. Step 3: Cross multiply
    126,576x = 189,797.58 × 51,654.24
  4. Step 4: Simplify right side
    126,576x = 9,803,849,748.74
  5. Step 5: Solve for x
    x = 9,803,849,748.74/126,576
  6. Step 6: Final answer
    x = 77,454.25

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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.