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Finding the Fourth Proportional to 52,622.40, 78,904.80 and 21,422.40

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Solution

The fourth proportional to 52,622.40, 78,904.80 and 21,422.40 is: 32,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,622.40 : 78,904.80 = 21,422.40 : x
  2. Step 2: Convert to fraction form
    52,622.40/78,904.80 = 21,422.40/x
  3. Step 3: Cross multiply
    52,622.40x = 78,904.80 × 21,422.40
  4. Step 4: Simplify right side
    52,622.40x = 1,690,330,187.52
  5. Step 5: Solve for x
    x = 1,690,330,187.52/52,622.40
  6. Step 6: Final answer
    x = 32,121.88

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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.