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Finding the Fourth Proportional to 52,500, 78,786.48 and 21,335.28

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Solution

The fourth proportional to 52,500, 78,786.48 and 21,335.28 is: 32,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,500 : 78,786.48 = 21,335.28 : x
  2. Step 2: Convert to fraction form
    52,500/78,786.48 = 21,335.28/x
  3. Step 3: Cross multiply
    52,500x = 78,786.48 × 21,335.28
  4. Step 4: Simplify right side
    52,500x = 1,680,931,611.01
  5. Step 5: Solve for x
    x = 1,680,931,611.01/52,500
  6. Step 6: Final answer
    x = 32,017.74

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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.