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Finding the Fourth Proportional to 51,408.60, 77,055.30 and 21,821.40

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Solution

The fourth proportional to 51,408.60, 77,055.30 and 21,821.40 is: 32,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,408.60 : 77,055.30 = 21,821.40 : x
  2. Step 2: Convert to fraction form
    51,408.60/77,055.30 = 21,821.40/x
  3. Step 3: Cross multiply
    51,408.60x = 77,055.30 × 21,821.40
  4. Step 4: Simplify right side
    51,408.60x = 1,681,454,523.42
  5. Step 5: Solve for x
    x = 1,681,454,523.42/51,408.60
  6. Step 6: Final answer
    x = 32,707.65

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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.