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Finding the Fourth Proportional to 65,364.78, 98,050.82 and 18,614

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Solution

The fourth proportional to 65,364.78, 98,050.82 and 18,614 is: 27,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,364.78 : 98,050.82 = 18,614 : x
  2. Step 2: Convert to fraction form
    65,364.78/98,050.82 = 18,614/x
  3. Step 3: Cross multiply
    65,364.78x = 98,050.82 × 18,614
  4. Step 4: Simplify right side
    65,364.78x = 1,825,117,963.48
  5. Step 5: Solve for x
    x = 1,825,117,963.48/65,364.78
  6. Step 6: Final answer
    x = 27,922.04

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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.