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Finding the Fourth Proportional to 52,504.68, 78,725.35 and 20,919.63

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Solution

The fourth proportional to 52,504.68, 78,725.35 and 20,919.63 is: 31,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,504.68 : 78,725.35 = 20,919.63 : x
  2. Step 2: Convert to fraction form
    52,504.68/78,725.35 = 20,919.63/x
  3. Step 3: Cross multiply
    52,504.68x = 78,725.35 × 20,919.63
  4. Step 4: Simplify right side
    52,504.68x = 1,646,905,072.16
  5. Step 5: Solve for x
    x = 1,646,905,072.16/52,504.68
  6. Step 6: Final answer
    x = 31,366.82

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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.