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Finding the Fourth Proportional to 52,622.60, 78,866.70 and 21,422.60

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Solution

The fourth proportional to 52,622.60, 78,866.70 and 21,422.60 is: 32,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,622.60 : 78,866.70 = 21,422.60 : x
  2. Step 2: Convert to fraction form
    52,622.60/78,866.70 = 21,422.60/x
  3. Step 3: Cross multiply
    52,622.60x = 78,866.70 × 21,422.60
  4. Step 4: Simplify right side
    52,622.60x = 1,689,529,767.42
  5. Step 5: Solve for x
    x = 1,689,529,767.42/52,622.60
  6. Step 6: Final answer
    x = 32,106.54

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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.