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Finding the Fourth Proportional to 65,644.38, 98,478.09 and 28,734.30

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Solution

The fourth proportional to 65,644.38, 98,478.09 and 28,734.30 is: 43,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,644.38 : 98,478.09 = 28,734.30 : x
  2. Step 2: Convert to fraction form
    65,644.38/98,478.09 = 28,734.30/x
  3. Step 3: Cross multiply
    65,644.38x = 98,478.09 × 28,734.30
  4. Step 4: Simplify right side
    65,644.38x = 2,829,698,981.49
  5. Step 5: Solve for x
    x = 2,829,698,981.49/65,644.38
  6. Step 6: Final answer
    x = 43,106.49

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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.