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Finding the Fourth Proportional to 65,907.90, 98,839.28 and 21,523.64

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Solution

The fourth proportional to 65,907.90, 98,839.28 and 21,523.64 is: 32,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,907.90 : 98,839.28 = 21,523.64 : x
  2. Step 2: Convert to fraction form
    65,907.90/98,839.28 = 21,523.64/x
  3. Step 3: Cross multiply
    65,907.90x = 98,839.28 × 21,523.64
  4. Step 4: Simplify right side
    65,907.90x = 2,127,380,640.19
  5. Step 5: Solve for x
    x = 2,127,380,640.19/65,907.90
  6. Step 6: Final answer
    x = 32,278.08

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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.