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Finding the Fourth Proportional to 51,428.40, 77,027.40 and 50,276.40

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Solution

The fourth proportional to 51,428.40, 77,027.40 and 50,276.40 is: 75,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428.40 : 77,027.40 = 50,276.40 : x
  2. Step 2: Convert to fraction form
    51,428.40/77,027.40 = 50,276.40/x
  3. Step 3: Cross multiply
    51,428.40x = 77,027.40 × 50,276.40
  4. Step 4: Simplify right side
    51,428.40x = 3,872,660,373.36
  5. Step 5: Solve for x
    x = 3,872,660,373.36/51,428.40
  6. Step 6: Final answer
    x = 75,301.98

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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.