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Finding the Fourth Proportional to 65,717.80, 98,576.70 and 49,971.40

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Solution

The fourth proportional to 65,717.80, 98,576.70 and 49,971.40 is: 74,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,717.80 : 98,576.70 = 49,971.40 : x
  2. Step 2: Convert to fraction form
    65,717.80/98,576.70 = 49,971.40/x
  3. Step 3: Cross multiply
    65,717.80x = 98,576.70 × 49,971.40
  4. Step 4: Simplify right side
    65,717.80x = 4,926,015,706.38
  5. Step 5: Solve for x
    x = 4,926,015,706.38/65,717.80
  6. Step 6: Final answer
    x = 74,957.10

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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.