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Finding the Fourth Proportional to 51,406.40, 77,138.40 and 21,819.20

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Solution

The fourth proportional to 51,406.40, 77,138.40 and 21,819.20 is: 32,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,406.40 : 77,138.40 = 21,819.20 : x
  2. Step 2: Convert to fraction form
    51,406.40/77,138.40 = 21,819.20/x
  3. Step 3: Cross multiply
    51,406.40x = 77,138.40 × 21,819.20
  4. Step 4: Simplify right side
    51,406.40x = 1,683,098,177.28
  5. Step 5: Solve for x
    x = 1,683,098,177.28/51,406.40
  6. Step 6: Final answer
    x = 32,741.02

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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.