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Finding the Fourth Proportional to 65,348.57, 98,013.59 and 20,969.58

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Solution

The fourth proportional to 65,348.57, 98,013.59 and 20,969.58 is: 31,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348.57 : 98,013.59 = 20,969.58 : x
  2. Step 2: Convert to fraction form
    65,348.57/98,013.59 = 20,969.58/x
  3. Step 3: Cross multiply
    65,348.57x = 98,013.59 × 20,969.58
  4. Step 4: Simplify right side
    65,348.57x = 2,055,304,275.89
  5. Step 5: Solve for x
    x = 2,055,304,275.89/65,348.57
  6. Step 6: Final answer
    x = 31,451.40

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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.