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Finding the Fourth Proportional to 51,453.60, 77,151.60 and 21,866.40

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Solution

The fourth proportional to 51,453.60, 77,151.60 and 21,866.40 is: 32,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,453.60 : 77,151.60 = 21,866.40 : x
  2. Step 2: Convert to fraction form
    51,453.60/77,151.60 = 21,866.40/x
  3. Step 3: Cross multiply
    51,453.60x = 77,151.60 × 21,866.40
  4. Step 4: Simplify right side
    51,453.60x = 1,687,027,746.24
  5. Step 5: Solve for x
    x = 1,687,027,746.24/51,453.60
  6. Step 6: Final answer
    x = 32,787.36

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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.